var cit = new Array();
function ran(n) { return Math.floor(Math.random() * (n + 1)); }
function citation() { document.write(cit[ran(cit.length - 1)]); }
cit[0] = 'A gem of the modular universe, by Bruce Hunt; <a href="http://arxiv.org/abs/alg-geom/9503018v1">arXiv:alg-geom/9503018v1</a>.'
cit[1] = 'Homotopy types of complements of 2-arrangements in R<sup>4</sup>, by Daniel Matei and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/9712251v2">arXiv:math/9712251v2</a>; appeared in: Topology 39 (2000), no. 1, 61-88.'
cit[2] = '<a href="http://math.berkeley.edu/~bernd/papers/fourcounter.ps"> Four Counterexamples in Combinatorial Algebraic Geometry</a>, by Bernd Sturmfels, preprint, July 8, 1998.'
cit[3] = 'Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds, by Nathan M. Dunfield; <a href="http://arxiv.org/abs/math/9801064v2">arXiv:math/9801064v2</a>; appeared in: Topology, Vol 38, No. 2, pp 457-465, 1999.'
cit[4] = 'The Pfaffian Calabi-Yau, its Mirror, and their link to the Grassmannian G(2,7), by Einar Andreas Rodland; <a href="http://arxiv.org/abs/math/9801092v1">arXiv:math/9801092v1</a>.'
cit[5] = 'Varieties of sums of powers, by Kristian Ranestad and Frank-Olaf Schreyer, J. Reine Angew. Math. 525, 147-181 (2000), <a href="http://arxiv.org/abs/math/9801110">arXiv:math/9801110</a>.'
cit[6] = 'The Projective Geometry of the Gale Transform, by David Eisenbud and Sorin Popescu, July 23, 1998, <a href="http://arxiv.org/abs/math/9807127">arXiv:math/9807127</a>.'
cit[7] = 'Computing Global Extension Modules for Coherent Sheaves on a Projective Scheme, by Gregory G. Smith; <a href="http://arxiv.org/abs/math/9807170v1">arXiv:math/9807170v1</a>; appeared in: Journal of Symbolic Computation 29 (2000) 729-746.'
cit[8] = 'On the divisor class group of double solids, by Stephan Endrass; <a href="http://arxiv.org/abs/math/9809158v2">arXiv:math/9809158v2</a>.'
cit[9] = 'Cohomology rings and nilpotent quotients of real and complex arrangements, by Daniel Matei and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/9812087v3">arXiv:math/9812087v3</a>; appeared in: Arrangements-Tokyo 1998, 185-215, Advanced Studies in Pure Mathematics, vol. 27, Kinokuniya, Tokyo, 2000.'
cit[10] = 'Moduli of (1,7)-polarized abelian surfaces via syzygies, by Nicolae Manolache and Frank-Olaf Schreyer, Math. Nachr. 226 (2001) 177-203, <a href="http://arxiv.org/abs/math/9812121">arXiv:math/9812121</a>.'
cit[11] = 'The moduli space of (1,11)-polarized abelian surfaces is unirational, by Mark Gross and Sorin Popescu; <a href="http://arxiv.org/abs/math/9902017v1">arXiv:math/9902017v1</a>.'
cit[12] = 'Standard bases with respect to the Newton filtration, by Stephan Endrass; <a href="http://arxiv.org/abs/math/9904071v1">arXiv:math/9904071v1</a>.'
cit[13] = 'Weighted Tango Bundles And Their Moduli Spaces, by Paolo Cascini; <a href="http://arxiv.org/abs/math/9904091v4">arXiv:math/9904091v4</a>; appeared in: Forum Math. 13, No.2, 251-260 (2001).'
cit[14] = 'Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and Shapiro, by Frank Sottile; <a href="http://arxiv.org/abs/math/9904138v1">arXiv:math/9904138v1</a>; appeared in: Experimental Mathematics, 9, Number 2, (2000), pp. 161-182.'
cit[15] = 'Enriques Surfaces and other Non-Pfaffian Subcanonical Subschemes of Codimension 3, by David Eisenbud, Sorin Popescu, and Charles Walter; <a href="http://arxiv.org/abs/math/9906171v1">arXiv:math/9906171v1</a>.'
cit[16] = 'Bezout&rsquo;s theorem and Cohen-Macaulay modules, by J. Migliore, U. Nagel, and C. Peterson; <a href="http://arxiv.org/abs/math/9907074v1">arXiv:math/9907074v1</a>.'
cit[17] = 'Determinantal hypersurfaces, by A. Beauville; <a href="http://arxiv.org/abs/math/9910030v2">arXiv:math/9910030v2</a>.'
cit[18] = 'A smooth space of tetrahedra, by Eric Babson, Paul E. Gunnells, and Richard Scott; <a href="http://arxiv.org/abs/math/9910049v2">arXiv:math/9910049v2</a>.'
cit[19] = 'Constructing irreducible representations of finitely presented algebras, by Edward S. Letzter; <a href="http://arxiv.org/abs/math/9910132v4">arXiv:math/9910132v4</a>.'
cit[20] = 'Quartic 3-fold: Pfaffians, instantons and half-canonical curves, by A. Iliev and D. Markushevich; <a href="http://arxiv.org/abs/math/9910133v2">arXiv:math/9910133v2</a>.'
cit[21] = 'Geometry and algebra of prime Fano 3-folds of genus 12, by Frank-Olaf Schreyer, Compos. Math. 127 (2001) 297-319, <a href="http://arxiv.org/abs/math/9911044">arXiv:math/9911044</a>.'
cit[22] = 'Computation of maximal reachability submodules, by Wiland Schmale; <a href="http://arxiv.org/abs/math/9911211v1">arXiv:math/9911211v1</a>.'
cit[23] = 'Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra, by David Eisenbud, Sorin Popescu, and Sergey Yuzvinsky; <a href="http://arxiv.org/abs/math/9912212v3">arXiv:math/9912212v3</a>.'
cit[24] = 'Translated tori in the characteristic varieties of complex hyperplane arrangements, by Alexander I. Suciu; <a href="http://arxiv.org/abs/math/9912227v3">arXiv:math/9912227v3</a>; appeared in: Topology and Appl. 118 (2002), 209-223.'
cit[25] = '<a href="http://www.idealibrary.com/links/doi/10.1006/aama.1999.0680/pdf">Hardy-Weinberg theory for tetraploidy with mixed mating</a>, by <a href="mailto:javargas@rnet.com.mx">J. A. Vargas</a>, Advances in Applied Mathematics 24 (2000) 369-383.'
cit[26] = 'Cellular binomial ideals. Primary decomposition of binomial ideals, by Ignacio Ojeda Mart&iacute;nez de Castilla; Ram&oacute;n Piedra-S&aacute;nchez,  Journal of Symbolic Computation, 30 (2000) 383-400, <a href="http://www.ams.org/mathscinet-getitem?mr=2001g:13058">MR 2001g:13058</a>.'
cit[27] = '<a href="http://www.reed.edu/~iswanson/annatril.pdf">Jacobian ideals of trilinear forms: an application of 1-genericity</a>, by A. Guerrieri and I. Swanson, Journal of Algebra, <b>226</b> (2000) 410-435.'
cit[28] = 'Polynomial and rational solutions of holonomic systems, by T. Oaku, N. Takayama, and H. Tsai; <a href="http://arxiv.org/abs/math/0001064v1">arXiv:math/0001064v1</a>.'
cit[29] = 'Calabi-Yau Threefolds and Moduli of Abelian Surfaces I, by Mark Gross and Sorin Popescu; <a href="http://arxiv.org/abs/math/0001089v1">arXiv:math/0001089v1</a>.'
cit[30] = 'Cohomology on Toric Varieties and Local Cohomology with Monomial Supports, by David Eisenbud, Mircea Mustata, and Mike Stillman; <a href="http://arxiv.org/abs/math/0001159v1">arXiv:math/0001159v1</a>; appeared in: J. Symbolic Comput. 29 (2000), no. 4-5, 583-600.'
cit[31] = 'Deformation of singular lagrangian subvarieties, by Duco van Straten and Christian Sevenheck, <a href="http://arxiv.org/abs/math/0002083">arXiv:math/0002083</a>.'
cit[32] = 'Computer Algebra and Algebraic Geometry - Achievements and Perspectives, by Gert-Martin Greuel; <a href="http://arxiv.org/abs/math/0002247v1">arXiv:math/0002247v1</a>; appeared in: Centre for Computer Algebra, University of Kaiserslautern, Reports On Computer Algebra, No. 29 (2000).'
cit[33] = '<i>Macaulay 2</i> and the geometry of schemes, by Gregory G. Smith and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0003033v1">arXiv:math/0003033v1</a>; appeared in: In Computations in algebraic geometry with Macaulay 2, pp 55-70, Springer-Verlag, 2001.'
cit[34] = 'Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles, by Tamas Hausel and Michael Thaddeus; <a href="http://arxiv.org/abs/math/0003094v2">arXiv:math/0003094v2</a>.'
cit[35] = 'Sheaf Cohomolog and Free Resolutions over Exterior Algebras, by David Eisenbud and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/math/0005055v1">arXiv:math/0005055v1</a>.'
cit[36] = 'Some conjectures about the Hilbert series of generic ideals in the exterior algebra, by Jan Snellman and Guillermo Moreno-Socias; <a href="http://arxiv.org/abs/math/0007089v3">arXiv:math/0007089v3</a>; appeared in: Homology, homotopy and applications, volume 4, no 2, 2002, pages 409-426.'
cit[37] = 'Computing homomorphisms between holonomic D-modules, by Harrison Tsai and Uli Walther; <a href="http://arxiv.org/abs/math/0007139v1">arXiv:math/0007139v1</a>.'
cit[38] = 'An excursion from enumerative goemetry to solving systems of polynomial equations with <i>Macaulay 2</i>, by Frank Sottile; <a href="http://arxiv.org/abs/math/0007142v2">arXiv:math/0007142v2</a>; appeared in: Computations in Algebraic Geometry with Macaulay 2, edited by D. Eisenbud, D. Grayson, M. Stillman, and B. Sturmfels. ACM 8, Springer-Verlag, 2001. pp. 101-129.'
cit[39] = 'The Center Variety of Polynomial Differential Systems, by Abdul Salam Jarrah, Reinhard Laubenbacher, and Valery Romanovski; <a href="http://arxiv.org/abs/math/0009061v2">arXiv:math/0009061v2</a>.'
cit[40] = 'Rank jumps in Codimension 2 A-Hypergeometric Systems, by Laura Felicia Matusevich; <a href="http://arxiv.org/abs/math/0009148v1">arXiv:math/0009148v1</a>.'
cit[41] = 'Syzygies of Oriented Matroids, by I. Novik, A. Postnikov, and B. Sturmfels; <a href="http://arxiv.org/abs/math/0009241v1">arXiv:math/0009241v1</a>.'
cit[42] = 'Bounding minimum distances of cyclic codes using algebraic geometry, by Nigel Boston; <a href="http://arxiv.org/abs/math/0009257v1">arXiv:math/0009257v1</a>.'
cit[43] = 'Hall invariants, homology of subgroups, and characteristic varieties, by Daniel Matei and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0010046v1">arXiv:math/0010046v1</a>; appeared in: International Math. Research Notices 2002:9 (2002), 465-503.'
cit[44] = 'Fundamental groups of line arrangements: Enumerative aspects, by Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0010105v2">arXiv:math/0010105v2</a>; appeared in: Contemporary Math., Amer. Math. Soc., vol. 276 (2001), pp. 43-79.'
cit[45] = 'Algorithms for the Toric Hilbert Scheme, by Michael Stillman, Bernd Sturmfels, and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0010130v1">arXiv:math/0010130v1</a>.'
cit[46] = 'Annihilators of Ideals of Exterior Algebras, by Graham Denham and Sergey Yuzvinsky; <a href="http://arxiv.org/abs/math/0010168v1">arXiv:math/0010168v1</a>.'
cit[47] = 'Elliptic functions and equations of modular curves, by Lev Borisov, Paul Gunnells, and Sorin Popescu; <a href="http://arxiv.org/abs/math/0010272v2">arXiv:math/0010272v2</a>.'
cit[48] = 'Geometrical properties of sections of Buchsbaum-Rim sheaves, by Igor Burban and Hans-Georg Freiermuth; <a href="http://arxiv.org/abs/math/0010276v1">arXiv:math/0010276v1</a>.'
cit[49] = 'Elementary Transversality in the Schubert calculus in any Characteristic, by Frank Sottile; <a href="http://arxiv.org/abs/math/0010319v2">arXiv:math/0010319v2</a>; appeared in: Michigan Math. J. 51 (2003), no. 3, 651-666.'
cit[50] = 'Subalgebras of bigraded Koszul algebras, by Stefan Blum; <a href="http://arxiv.org/abs/math/0011251v2">arXiv:math/0011251v2</a>.'
cit[51] = 'The Inverse Gr&ouml;bner basis Problem in Codimension Two, by Amelia Taylor, <a href="http://arxiv.org/abs/math/0012044">arXiv:math/0012044</a>.'
cit[52] = 'The vertex ideal of a lattice, by Serkan Hosten and Diane Maclagan; <a href="http://arxiv.org/abs/math/0012197v1">arXiv:math/0012197v1</a>.'
cit[53] = 'Describing coherent sheaves on projective spaces via Koszul duality, by Gunnar Floystad; <a href="http://arxiv.org/abs/math/0012263v2">arXiv:math/0012263v2</a>.'
cit[54] = '<a href="http://www.math.sci.kobe-u.ac.jp/OpenXM/ascm2001/ascm2001/">The Design and Implementation of OpenXM-RFC 100 and 101</a>, by M. Maekawa, M. Noro, N. Takayama, Y. Tamura, K. Ohara, in: Computer Mathematics, Proceedings of the Fifth Asian Symposium (ASCM 2001), edited by Shirayanagi and Yokoyama, World Scientific, 102-111, 2001.'
cit[55] = '<a href="http://loge.math.uni-sb.de/~agdecker/Forschung/publications.html#ende">Computational Algebraic Geometry Today</a>, <a href="http://loge.math.uni-sb.de/%7Eagdecker/Preprints/decker2001b.ps.gz">gzipped postscript</a>, <a href="http://loge.math.uni-sb.de/%7Eagdecker/Preprints/decker2001b.pdf.gz">gzipped pdf</a>, by W. Decker and F.-O. Schreyer, in: Ciliberto, Ciro (ed.) et al., Applications of algebraic geometry to coding theory, physics and computation. Proceedings of the NATO advanced research workshop, Eilat, Israel, February 25-March 1, 2001. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 36, 65-119 (2001).'
cit[56] = '<a href="http://etd.lsu.edu:8085/docs/available/etd-0713101-132954/unrestricted/guneridissert.pdf">Artin-Schreier families and 2-D cyclic codes</a>, by Cem Guneri, thesis, August, 2001, Louisiana State University.'
cit[57] = 'Genetic Associations under Mixed-Mating Systems: The Bennett-Binet Effect, by J. A. Vargas and R. F. del Castillo, <a href="http://imammb.oxfordjournals.org/cgi/content/abstract/18/4/327">Mathematical Medicine and Biology, 18 (2001) 327-341</a>.'
cit[58] = 'Problems and progress: survey on fat points in P2, by Brian Harbourne; <a href="http://arxiv.org/abs/math/0101112v1">arXiv:math/0101112v1</a>.'
cit[59] = 'Canonical curves and varieties of sums of powers of cubic polynomials, by Atanas Iliev and Kristian Ranestad; <a href="http://arxiv.org/abs/math/0102130v1">arXiv:math/0102130v1</a>.'
cit[60] = 'Algorithmic Determination of the Rational Cohomology of Complex Varieties via Differential Forms, by Uli Walther; <a href="http://arxiv.org/abs/math/0103013v1">arXiv:math/0103013v1</a>.'
cit[61] = 'Free divisors and duality for D-modules, by F. J. Castro-Jimenez and J. M. Ucha; <a href="http://arxiv.org/abs/math/0103085v1">arXiv:math/0103085v1</a>.'
cit[62] = 'Minimizing Polynomial Functions, by Pablo A. Parrilo and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0103170v1">arXiv:math/0103170v1</a>; appeared in: Algorithmic and quantitative real algebraic geometry, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 60, pp. 83-99, AMS, 2003. ISBN: 0-8218-2863-0.'
cit[63] = 'The Coloring Ideal and Coloring Complex of a Graph, by Einar Steingrimsson; <a href="http://arxiv.org/abs/math/0104063v1">arXiv:math/0104063v1</a>.'
cit[64] = 'Sheaf Cohomology and Free Resolutions over Exterior Algebras, by David Eisenbud, Gunnar Floystad, and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/math/0104203v2">arXiv:math/0104203v2</a>.'
cit[65] = 'Algebraic Unimodular Counting, by Jesus A. De Loera and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0104286v1">arXiv:math/0104286v1</a>.'
cit[66] = 'Exceptional parameters for generic A-hypergeometric systems, by Laura Felicia Matusevich, <a href="http://arxiv.org/abs/math/0105030">arXiv:math/0105030</a>.'
cit[67] = 'Lines Tangent to 2n-2 spheres in R<sup>n</sup>, by Frank Sottile and Thorsten Theobald; <a href="http://arxiv.org/abs/math/0105180v2">arXiv:math/0105180v2</a>; appeared in: Trans. Amer. Math. Soc., 354 (2002), 4815-4829.'
cit[68] = 'Gomory Integer Programs, by Serkan Hosten and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0106031v1">arXiv:math/0106031v1</a>.'
cit[69] = 'Geometry of the moduli space of Higgs bundles, by Tamas Hausel; <a href="http://arxiv.org/abs/math/0107040v1">arXiv:math/0107040v1</a>.'
cit[70] = 'Slopes of a Hypergeometric System Associated to a Monomial Curve, by F. J. Castro-Jimenez and N. Takayama; <a href="http://arxiv.org/abs/math/0107046v1">arXiv:math/0107046v1</a>.'
cit[71] = 'Geometric Syzygies of Canonical Curves of even Genus lying on a K3-Surface, by Hans-Christian v. Bothmer; <a href="http://arxiv.org/abs/math/0108078v1">arXiv:math/0108078v1</a>.'
cit[72] = 'Lower central series and free resolutions of hyperplane arrangements, by Henry K. Schenck and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0109070v2">arXiv:math/0109070v2</a>; appeared in: Trans. Amer. Math. Soc. 354 (2002), 3409-3433.'
cit[73] = 'Local Complete Intersections in P<sup>2</sup> and Koszul Syzygies, by David Cox and Hal Schenck; <a href="http://arxiv.org/abs/math/0110097v1">arXiv:math/0110097v1</a>; appeared in: Proc. Amer. Math. Soc. 131 (2003), 2007-2014.'
cit[74] = 'Decomposable Ternary Cubics, by Jaydeep V. Chipalkatti; <a href="http://arxiv.org/abs/math/0110192v1">arXiv:math/0110192v1</a>.'
cit[75] = 'On equations defining coincident root loci, by Jaydeep V Chipalkatti; <a href="http://arxiv.org/abs/math/0110224v1">arXiv:math/0110224v1</a>.'
cit[76] = 'Canonical rings of surfaces whose canonical system has base points, by I. C. Bauer, F. Catanese, and R. Pignatelli; <a href="http://arxiv.org/abs/math/0111029v1">arXiv:math/0111029v1</a>.'
cit[77] = 'Resultants and Chow forms via Exterior Syzygies, by David Eisenbud and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/math/0111040v1">arXiv:math/0111040v1</a>; appeared in: Report-No: MSRI 2001-037.'
cit[78] = 'A geometric construction of Tango bundle on P<sup>5</sup>, by Daniele Faenzi; <a href="http://arxiv.org/abs/math/0111207v2">arXiv:math/0111207v2</a>.'
cit[79] = 'Algebraic approach to time-delay data analysis for LISA, by S. V. Dhurandhar, K. Rajesh Nayak, and J-Y. Vinet; <a href="http://arxiv.org/abs/gr-qc/0112059v2">arXiv:gr-qc/0112059v2</a>; appeared in: Phys.Rev. D70 (2004) 102003.'
cit[80] = 'On Waring&rsquo;s problem for several homogeneous forms, by Enrico Carlini and Jaydeep Chipalkatti; <a href="http://arxiv.org/abs/math/0112110v1">arXiv:math/0112110v1</a>.'
cit[81] = '<a href="http://www.reed.edu/~iswanson/hueblcone.pdf">Normal cones of monomial primes</a>, by R. Huebl and I. Swanson, preprint, 2002, to appear in Mathematics of Computation.'
cit[82] = '<a href="http://www.reed.edu/~iswanson/mmone.pdf">The first Mayr-Meyer ideal</a>, by I. Swanson, preprint, 2002.'
cit[83] = '<a href="http://www.reed.edu/~iswanson/annahankel.pdf">On the ideal of minors of matrices of linear forms</a>, by A. Guerrieri and I. Swanson, preprint, 2002.'
cit[84] = 'Shadows of blow-up algebras, by Paolo Aluffi; <a href="http://arxiv.org/abs/math/0201228v2">arXiv:math/0201228v2</a>.'
cit[85] = 'Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8, by Hans-Christian v. Bothmer; <a href="http://arxiv.org/abs/math/0202133v1">arXiv:math/0202133v1</a>; appeared in: "Scrollar Syzygies of general canonical curves with genus at most 8", Trans. Amer. Math. Soc. 359 (2007), 465-488.'
cit[86] = 'A Fitting Lemma for Z/2-graded modules, by David Eisenbud and Jerzy Weyman; <a href="http://arxiv.org/abs/math/0202227v1">arXiv:math/0202227v1</a>.'
cit[87] = 'On the cohomology of stable map spaces, by Kai Behrend and Anne O&rsquo;Halloran; <a href="http://arxiv.org/abs/math/0202288v1">arXiv:math/0202288v1</a>.'
cit[88] = 'Analytic rigidity of K-trivial extremal contractions of smooth 3-folds, by Csilla Tamás; <a href="http://arxiv.org/abs/math/0204015v1">arXiv:math/0204015v1</a>.'
cit[89] = 'A new proof of the nonrationality of cubic threefolds, by Tawanda Gwena; <a href="http://arxiv.org/abs/math/0204041v2">arXiv:math/0204041v2</a>.'
cit[90] = 'Non-connected toric Hilbert schemes, by Francisco Santos; <a href="http://arxiv.org/abs/math/0204044v3">arXiv:math/0204044v3</a>; appeared in: Mathematische Annalen, 332:3 (2005), 645-665.'
cit[91] = 'Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic arrangements, by Uli Walther; <a href="http://arxiv.org/abs/math/0204080v3">arXiv:math/0204080v3</a>.'
cit[92] = 'Computing characteristic classes of projective schemes, by Paolo Aluffi; <a href="http://arxiv.org/abs/math/0204230v1">arXiv:math/0204230v1</a>.'
cit[93] = 'Algorithmic proofs of two theorems of Stafford, by Anton Leykin; <a href="http://arxiv.org/abs/math/0204303v2">arXiv:math/0204303v2</a>.'
cit[94] = 'Implicitization of surfaces in P<sup>3</sup> in the presence of base points, by Laurent Buse, David Cox, and Carlos D&rsquo;Andrea; <a href="http://arxiv.org/abs/math/0205251v4">arXiv:math/0205251v4</a>; appeared in: J. Algebra Appl. 2 (2003), no. 2, 189-214.'
cit[95] = 'Common transversals and tangents to two lines and two quadrics in P<sup>3</sup>, by Gábor Megyesi, Frank Sottile, and Thorsten Theobald; <a href="http://arxiv.org/abs/math/0206044v1">arXiv:math/0206044v1</a>.'
cit[96] = 'Symmetric iterated Betti numbers, by Eric Babson, Isabella Novik, and Rekha Thomas; <a href="http://arxiv.org/abs/math/0206063v1">arXiv:math/0206063v1</a>.'
cit[97] = 'Real k-flats tangent to quadrics in R<sup>n</sup>, by Frank Sottile and Thorsten Theobald; <a href="http://arxiv.org/abs/math/0206099v4">arXiv:math/0206099v4</a>.'
cit[98] = 'Effective Detection of Nonsplit Module Extensions, by Edward S. Letzter; <a href="http://arxiv.org/abs/math/0206141v3">arXiv:math/0206141v3</a>.'
cit[99] = 'Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras, by A. V. Jayanthan and J. K. Verma; <a href="http://arxiv.org/abs/math/0206192v1">arXiv:math/0206192v1</a>.'
cit[100] = 'Properties of the residual circle action on a toric hyperkahler variety, by Megumi Harada and Nicholas J. Proudfoot; <a href="http://arxiv.org/abs/math/0207012v4">arXiv:math/0207012v4</a>.'
cit[101] = 'Two applications of instanton numbers, by Elizabeth Gasparim; <a href="http://arxiv.org/abs/math/0207074v1">arXiv:math/0207074v1</a>; appeared in: Isaac Newton Institute preprint NI02022-HDG (2002).'
cit[102] = 'Test ideals in diagonal hypersurface rings II, by Moira A. McDermott; <a href="http://arxiv.org/abs/math/0207109v2">arXiv:math/0207109v2</a>.'
cit[103] = 'Canonical projections of irregular algebraic surfaces, by Fabrizio Catanese and Frank Olaf Schreyer, in Algebraic geometry, 79-116, de Gruyter, Berlin, 2002, <a href="http://arxiv.org/abs/math/0207253">arXiv:math/0207253</a>, (Macaulay2 is not cited here, but several calculations were made with it).'
cit[104] = 'Computing Instanton Numbers of Curve Singularities, by Elizabeth Gasparim and Irena Swanson; <a href="http://arxiv.org/abs/math/0208069v4">arXiv:math/0208069v4</a>.'
cit[105] = 'Geometry of the tetrahedron space, by Eric Babson, Paul E. Gunnells, and Richard Scott; <a href="http://arxiv.org/abs/math/0208119v5">arXiv:math/0208119v5</a>.'
cit[106] = 'Secant Varieties of Grasmann Varieties, by M. V. Catalisano, A. V. Geramita, and A. Gimigliano; <a href="http://arxiv.org/abs/math/0208166v2">arXiv:math/0208166v2</a>.'
cit[107] = 'The ring of arithmetical functions with unitary convolution: the [n]-truncation, by Jan Snellman; <a href="http://arxiv.org/abs/math/0208183v1">arXiv:math/0208183v1</a>; appeared in: International Journal of Mathematics Game Theory and Algebra, 13 (2003), no. 6, 485-519.'
cit[108] = '(Bi-)Cohen-Macaulay simplicial complexes and their associated coherent sheaves, by Gunnar Floystad and Jon Eivind Vatne; <a href="http://arxiv.org/abs/math/0209061v4">arXiv:math/0209061v4</a>.'
cit[109] = 'The first Mayr-Meyer ideal, by Irena Swanson; <a href="http://arxiv.org/abs/math/0209154v1">arXiv:math/0209154v1</a>.'
cit[110] = 'Geometry of the Lagrangian Grassmannian Sp(3)/U(3) with applications to Brill-Noether loci, by Atanas Iliev and Kristian Ranestad; <a href="http://arxiv.org/abs/math/0209169v2">arXiv:math/0209169v2</a>.'
cit[111] = 'The minimal components of the Mayr-Meyer ideals, by Irena Swanson; <a href="http://arxiv.org/abs/math/0209172v1">arXiv:math/0209172v1</a>.'
cit[112] = 'What is the Rees Algebra of a Module?, by David Eisenbud, Craig Huneke, and Bernd Ulrich; <a href="http://arxiv.org/abs/math/0209187v1">arXiv:math/0209187v1</a>.'
cit[113] = 'Unhiggsing the del Pezzo, by Bo Feng, Sebastian Franco, Amihay Hanany, and Yang-Hui He, <a href="http://arxiv.org/abs/hep-th/0209228">arXiv:hep-th/0209228</a>.'
cit[114] = 'A numerical characterization of the S<sub>2</sub>-ification of a Rees algebra, by Catalin Ciuperca; <a href="http://arxiv.org/abs/math/0209293v1">arXiv:math/0209293v1</a>.'
cit[115] = 'Notes on the behavior of the Ratliff-Rush filtration, by Maria Evelina Rossi and Irena Swanson; <a href="http://arxiv.org/abs/math/0209308v1">arXiv:math/0209308v1</a>.'
cit[116] = 'On the embedded primes of the Mayr-Meyer ideals, by Irena Swanson; <a href="http://arxiv.org/abs/math/0209344v1">arXiv:math/0209344v1</a>.'
cit[117] = 'A new family of ideals with the doubly exponential ideal membership property, by Irena Swanson; <a href="http://arxiv.org/abs/math/0209345v1">arXiv:math/0209345v1</a>.'
cit[118] = 'Bipartite graphs whose edge algebras are complete intersections, by Mordechai Katzman; <a href="http://arxiv.org/abs/math/0209348v1">arXiv:math/0209348v1</a>; appeared in: Journal of Algebra, 220 (1999) pp. 519-530.'
cit[119] = 'Improving the Sensitivity of LISA, by K. Rajesh Nayak, A. Pai, S. V. Dhurandhar, and J-Y. Vinet; <a href="http://arxiv.org/abs/gr-qc/0210014v1">arXiv:gr-qc/0210014v1</a>; appeared in: Class.Quant.Grav. 20 (2003) 1217-1232.'
cit[120] = 'Todd classes of affine cones of Grassmannians, by Kazuhiko Kurano and Anurag K. Singh; <a href="http://arxiv.org/abs/math/0210130v1">arXiv:math/0210130v1</a>; appeared in: International Mathematics Research Notices 35 (2002) 1841-1855.'
cit[121] = 'Box-shaped matrices and the defining ideal of certain blowup surfaces, by Huy Tai Ha; <a href="http://arxiv.org/abs/math/0210251v1">arXiv:math/0210251v1</a>; appeared in: J. Pure Appl. Algebra, 167 (2002), 203-224.'
cit[122] = 'Castelnuovo-Mumford regularity: Examples of curves and surfaces, by Marc Chardin and Clare D&rsquo;Cruz; <a href="http://arxiv.org/abs/math/0210270v1">arXiv:math/0210270v1</a>.'
cit[123] = 'Irregular elliptic surfaces of degree 12 in the projective fourspace, by Hirotachi Abo and Kristian Ranestad; <a href="http://arxiv.org/abs/math/0210317v1">arXiv:math/0210317v1</a>.'
cit[124] = 'The maximal spectral radius of a digraph with (m+1)<sup>2</sup> - s edges, by Jan Snellman; <a href="http://arxiv.org/abs/math/0210365v4">arXiv:math/0210365v4</a>; appeared in: Electronic Journal of Linear Algebra, vol 10 (2003), pp 179-189.'
cit[125] = 'Castelnuovo-Mumford regularity by approximation, by Harm Derksen and Jessica Sidman; <a href="http://arxiv.org/abs/math/0211279v2">arXiv:math/0211279v2</a>.'
cit[126] = 'Symmetry groups, semidefinite programs, and sums of squares, by Karin Gatermann and Pablo A. Parrilo; <a href="http://arxiv.org/abs/math/0211450v1">arXiv:math/0211450v1</a>; appeared in: Journal of Pure and Appl. Algebra, Vol. 192, No. 1-3, pp. 95-128, 2004.'
cit[127] = 'Large Volume Perspective on Branes at Singularities, by Martijn Wijnholt; <a href="http://arxiv.org/abs/hep-th/0212021v3">arXiv:hep-th/0212021v3</a>; appeared in: Adv.Theor.Math.Phys. 7 (2004) 1117-1153.'
cit[128] = 'Toric ideals, real toric varieties, and the algebraic moment map, by Frank Sottile; <a href="http://arxiv.org/abs/math/0212044v3">arXiv:math/0212044v3</a>; appeared in: in Topics in Algebraic Geometry and Geometric Modeling, Contemp. Math., 334, 2003., pp.225-240.'
cit[129] = 'The Waring loci of ternary quartics, by Jaydeep Chipalkatti; <a href="http://arxiv.org/abs/math/0212169v1">arXiv:math/0212169v1</a>.'
cit[130] = 'Computations with Frobenius powers, by Susan M. Hermiller and Irena Swanson; <a href="http://arxiv.org/abs/math/0212238v3">arXiv:math/0212238v3</a>.'
cit[131] = '<a href="http://www.math.cornell.edu/~chris/stablepaper.pdf">Minimal graded Betti numbers and stable ideals</a>, by Chris Francisco, Comm. Algebra 31 (2003), 4971-4987.'
cit[132] = '<a href="http://www.math.jussieu.fr/~chardin/publications/textes/18.cex.dvi">Castelnuovo-Mumford regularity: Examples of curves and surfaces</a> by Marc Chardin and Clare D\'Cruz, Journal of Algebra 270 (2003) 347-360.'
cit[133] = 'Computing in algebraic geometry and commutative algebra using Macaulay 2,by Michael Stillman, 11 July 2003, <a href="http://dx.doi.org/10.1016/S0747-7171(03)00096-8">doi:10.1016/S0747-7171(03)00096-8</a>.'
cit[134] = 'A resultant approach to detect intersecting curves in <i>&#x2119;<sup>3</sup></i>, by Laurent Buse and Andre Galligo; <a href="http://arxiv.org/abs/math/0301088v1">arXiv:math/0301088v1</a>.'
cit[135] = 'Trees, parking functions, syzygies, and deformations of monomial ideals, by Alexander Postnikov and Boris Shapiro; <a href="http://arxiv.org/abs/math/0301110v3">arXiv:math/0301110v3</a>.'
cit[136] = 'Linear systems on a special rational surface, by Hal Schenck; <a href="http://arxiv.org/abs/math/0301153v3">arXiv:math/0301153v3</a>; appeared in: Mathematical Research Letters 11 (2004) 697-713.'
cit[137] = 'Algebraic Geometry of Bayesian Networks, by Luis David Garcia, Michael Stillman, and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0301255v1">arXiv:math/0301255v1</a>.'
cit[138] = 'Computing the Integer Programming Gap, by Serkan Hosten and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0301266v1">arXiv:math/0301266v1</a>.'
cit[139] = 'A note on the Intersection of Veronese Surfaces, by David Eisenbud, Klaus Hulek, and Sorin Popescu; <a href="http://arxiv.org/abs/math/0302167v1">arXiv:math/0302167v1</a>.'
cit[140] = 'Factorizations of some weighted spanning tree enumerators, by Jeremy L. Martin and Victor Reiner; <a href="http://arxiv.org/abs/math/0302213v2">arXiv:math/0302213v2</a>; appeared in: J. Combin. Theory Ser. A 104, no. 2 (2003), pp. 287-300.'
cit[141] = 'Computing the tight closure in dimension two, by Holger Brenner; <a href="http://arxiv.org/abs/math/0303116v2">arXiv:math/0303116v2</a>.'
cit[142] = 'Methods for Computing Normalisations of Affine Rings, by Amelia Taylor; <a href="http://arxiv.org/abs/math/0304007v1">arXiv:math/0304007v1</a>; appeared in: Advances in ALGEBRA and GEOMETRY (University of Hyderabad Conference 2001) , 279-295, Hindustan Book Agency, India, 2003.'
cit[143] = 'Geometric syzygies of elliptic normal curves and their secant varieties, by Hans-Christian v. Bothmer and Klaus Hulek; <a href="http://arxiv.org/abs/math/0304331v1">arXiv:math/0304331v1</a>; appeared in: manuscripta mathematica, Volume 113, Number 1, Jan. 2004, pp 35-68.'
cit[144] = 'The envelope of lines meeting a fixed line that are tangent to two spheres, by Gábor Megyesi and Frank Sottile; <a href="http://arxiv.org/abs/math/0304346v2">arXiv:math/0304346v2</a>.'
cit[145] = 'Computations with moduli of perverse point sheaves, by Dan Abramovich and Jiun C. Chen; <a href="http://arxiv.org/abs/math/0304353v2">arXiv:math/0304353v2</a>.'
cit[146] = 'Cryptanalysis of HFE, by Ilia Toli; <a href="http://arxiv.org/abs/cs/0305034v3">arXiv:cs/0305034v3</a>.'
cit[147] = 'Multigraded Castelnuovo-Mumford Regularity, by Diane Maclagan and Gregory G. Smith; <a href="http://arxiv.org/abs/math/0305214v1">arXiv:math/0305214v1</a>; appeared in: Journal fur die reine und angewandte Mathematik (Crelle\'s Journal) 571 (2004) 179-212.'
cit[148] = 'Uniform bounds on multigraded regularity, by Diane Maclagan and Gregory G. Smith; <a href="http://arxiv.org/abs/math/0305215v1">arXiv:math/0305215v1</a>; appeared in: Journal of Algebraic Geometry, 14 (2005) 137-164.'
cit[149] = 'Nonvanishing cohomology and classes of Gorenstein rings, by David A. Jorgensen and Liana M. Sega; <a href="http://arxiv.org/abs/math/0306001v2">arXiv:math/0306001v2</a>.'
cit[150] = 'The equivariant Orlik-Solomon algebra, by Nicholas J. Proudfoot; <a href="http://arxiv.org/abs/math/0306013v2">arXiv:math/0306013v2</a>.'
cit[151] = 'A family of metrics on contact structures based on edge ideals, by Mercé Llabrés and Francesc Rosselló; <a href="http://arxiv.org/abs/cs/0306097v1">arXiv:cs/0306097v1</a>.'
cit[152] = 'Some schemes related to the commuting variety, by Allen Knutson; <a href="http://arxiv.org/abs/math/0306275v1">arXiv:math/0306275v1</a>.'
cit[153] = 'Elementary modifications and line configurations in P<sup>2</sup>, by Henry K. Schenck; <a href="http://arxiv.org/abs/math/0307035v1">arXiv:math/0307035v1</a>; appeared in: Comment. Math. Helv. 78 (2003) 447-462.'
cit[154] = '<a href="http://www.hindawi.com/GetArticle.aspx?pii=S1073792804132017">Chen Lie algebras</a>, by Stefan Papadima and Alexander I. Suciu, International Mathematics Research Notices (2004) 1057-1086, <a href="http://arxiv.org/abs/math/0307087">arXiv:math/0307087</a>.'
cit[155] = 'Defining equations of subspace arrangements embedded in reflection arrangements, by Jessica Sidman; <a href="http://arxiv.org/abs/math/0307280v2">arXiv:math/0307280v2</a>.'
cit[156] = 'Short Rational Functions for Toric Algebra and Applications, by Jesus De Loera, David Haws, Raymond Hemmecke, Peter Huggins, Bernd Sturmfels, and Ruriko Yoshida; <a href="http://arxiv.org/abs/math/0307350v1">arXiv:math/0307350v1</a>.'
cit[157] = 'Last syzygies of 1-generic spaces, by Hans-Christian v. Bothmer; <a href="http://arxiv.org/abs/math/0307361v1">arXiv:math/0307361v1</a>; appeared in: Journal of Algebra, Volume 278, Issue 1, 2004, pp 360-369.'
cit[158] = 'On the topology of graph picture spaces, by Jeremy L. Martin; <a href="http://arxiv.org/abs/math/0307405v2">arXiv:math/0307405v2</a>; appeared in: Adv. Math. 191, no. 2 (2005), 312-338.'
cit[159] = 'Mahler&rsquo;s Measure and the Dilogarithm (II), by David W. Boyd, Fernando Rodriguez-Villegas, and Nathan M. Dunfield; <a href="http://arxiv.org/abs/math/0308041v2">arXiv:math/0308041v2</a>.'
cit[160] = 'Groebner bases, initial ideals and initial algebras, by Winfried Bruns and Aldo Conca; <a href="http://arxiv.org/abs/math/0308102v1">arXiv:math/0308102v1</a>.'
cit[161] = 'Toric Initial Ideals of <i>&Delta;</i>-Normal Configurations: Cohen-Macaulayness and Degree Bounds, by Edwin O&rsquo;Shea and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0308109v1">arXiv:math/0308109v1</a>.'
cit[162] = 'Hilbert functions of irreducible arithmetically Gorenstein schemes, by Nero Budur, Marta Casanellas, and Elisa Gorla; <a href="http://arxiv.org/abs/math/0308208v1">arXiv:math/0308208v1</a>.'
cit[163] = 'Rees Algebras of Conormal Modules, by Jooyoun Hong; <a href="http://arxiv.org/abs/math/0308272v1">arXiv:math/0308272v1</a>.'
cit[164] = 'Markov bases of binary graph models, by Mike Develin and Seth Sullivant; <a href="http://arxiv.org/abs/math/0308280v1">arXiv:math/0308280v1</a>.'
cit[165] = 'Bivariate hypergeometric D-modules, by Alicia Dickenstein, Laura Matusevich, and Timur Sadykov; <a href="http://arxiv.org/abs/math/0310003v2">arXiv:math/0310003v2</a>.'
cit[166] = 'Exemples de surfaces canoniques de <i>&#x2119;<sup>6</sup></i> et de solides de Calabi-Yau de <i>&#x2119;<sup>7</sup></i>, by Marie-Amélie Bertin; <a href="http://arxiv.org/abs/math/0310353v1">arXiv:math/0310353v1</a>.'
cit[167] = 'Degree 1 Curves in the Dwork Pencil and the Mirror Quintic, by Anca Mustata; <a href="http://arxiv.org/abs/math/0311252v1">arXiv:math/0311252v1</a>.'
cit[168] = 'Coincident root loci of binary forms, by L. M. Feher, A. Nemethi, and R. Rimanyi; <a href="http://arxiv.org/abs/math/0311312v1">arXiv:math/0311312v1</a>.'
cit[169] = 'A Computational Algebra Approach to the Reverse Engineering of Gene Regulatory Networks, by Reinhard Laubenbacher and Brandilyn Stigler; <a href="http://arxiv.org/abs/q-bio/0312026v1">arXiv:q-bio/0312026v1</a>; appeared in: Journal of Theoretical Biology 229 (2004) 523-537.'
cit[170] = 'On the rank of a tropical matrix, by M. Develin, F. Santos, and B. Sturmfels; <a href="http://arxiv.org/abs/math/0312114v2">arXiv:math/0312114v2</a>; appeared in: In "Discrete and Computational Geometry" (E. Goodman, J. Pach and E. Welzl, eds), MSRI Publications, Cambridge Univ. Press, 2005. ISBN-10: 0521848628.'
cit[171] = '<a href="http://www.math.cornell.edu/~chris/acilpp.pdf">Almost complete intersections and the Lex-Plus-Powers Conjecture</a>, by Chris Francisco, J. Algebra 276 (2004), no. 2, 737-760.'
cit[172] = '<a href="http://math.arizona.edu/~aprl/publications/dissertation/">On the projective geometry of curves of genus one, and an algorithm for the jacobian of such a curve</a>, by Alexander R. Perlis, Ph.D. Dissertation, University of Arizona, 2004.'
cit[173] = 'Subspace arrangements defined by products of linear forms, by Anders Björner, Irena Peeva, and Jessica Sidman; <a href="http://arxiv.org/abs/math/0401373v3">arXiv:math/0401373v3</a>.'
cit[174] = 'The unirationality of the moduli space of curves of genus <i>&le;14</i>, by Alessandro Verra; <a href="http://arxiv.org/abs/math/0402032v1">arXiv:math/0402032v1</a>.'
cit[175] = 'Combinatorics of rank jumps in simplicial hypergeometric systems, by Laura Felicia Matusevich and Ezra Miller; <a href="http://arxiv.org/abs/math/0402071v1">arXiv:math/0402071v1</a>.'
cit[176] = 'Canonical surfaces in P<sup>4</sup> and Gorenstein algebras in codimension 2, by Christian Böhning; <a href="http://arxiv.org/abs/math/0402369v1">arXiv:math/0402369v1</a>.'
cit[177] = 'Generic initial ideals of points and curves, by Aldo Conca and Jessica Sidman; <a href="http://arxiv.org/abs/math/0402418v2">arXiv:math/0402418v2</a>.'
cit[178] = 'Arithmetic degree and associated graded modules, by Natale Paolo Vinai; <a href="http://arxiv.org/abs/math/0402455v1">arXiv:math/0402455v1</a>.'
cit[179] = 'Atiyah Jones conjecture for blown-up surfaces, by Elizabeth Gasparim; <a href="http://arxiv.org/abs/math/0403138v5">arXiv:math/0403138v5</a>; appeared in: Advances in Math. (2008).'
cit[180] = 'Vector bundles near negative curves: moduli and local Euler characteristic, by Edoardo Ballico, Elizabeth Gasparim, and Thomas Köppe; <a href="http://arxiv.org/abs/math/0404012v4">arXiv:math/0404012v4</a>.'
cit[181] = 'A quick and dirty irreducibility Test for Multivariate Polynomials over F<sub>q</sub>, by H. -C. Graf v. Bothmer and F. -O. Schreyer; <a href="http://arxiv.org/abs/math/0404342v1">arXiv:math/0404342v1</a>; appeared in: Experimental Mathematics, Vol. 14 (2005), No. 4, pp 415-422.'
cit[182] = 'A new family of rational surfaces in P<sup>4</sup>, by Hans-Christian Graf v. Bothmer, Cord Erdenberger, and Katharina Ludwig; <a href="http://arxiv.org/abs/math/0404492v1">arXiv:math/0404492v1</a>; appeared in: J. Symbolic Comput. 39 (2005), no. 1, 51-60.'
cit[183] = 'Restricting linear syzygies: algebra and geometry, by David Eisenbud, Mark Green, Klaus Hulek, and Sorin Popescu; <a href="http://arxiv.org/abs/math/0404516v1">arXiv:math/0404516v1</a>.'
cit[184] = 'Small schemes and varieties of minimal degree, by David Eisenbud, Mark Green, Klaus Hulek, and Sorin Popescu; <a href="http://arxiv.org/abs/math/0404517v5">arXiv:math/0404517v5</a>.'
cit[185] = 'Non-rational nodal quartic threefolds, by Ivan Cheltsov; <a href="http://arxiv.org/abs/math/0405150v1">arXiv:math/0405150v1</a>.'
cit[186] = 'The line geometry of resonance varieties, by Michael Falk; <a href="http://arxiv.org/abs/math/0405210v2">arXiv:math/0405210v2</a>.'
cit[187] = 'Hyperkahler analogues of Kahler quotients, by Nicholas J. Proudfoot; <a href="http://arxiv.org/abs/math/0405233v1">arXiv:math/0405233v1</a>; appeared in: Ph. D. thesis, U.C. Berkeley, Spring 2004.'
cit[188] = 'A regularity result for a locus of Brill type, by Abdelmalek Abdesselam and Jaydeep Chipalkatti, <a href="http://arxiv.org/abs/math/0405236">arXiv:math/0405236</a>.'
cit[189] = 'Multigraded regularity: syzygies and fat points, by Jessica Sidman and Adam Van Tuyl; <a href="http://arxiv.org/abs/math/0405247v3">arXiv:math/0405247v3</a>.'
cit[190] = 'Symmetric measures via moments, by Alexey Koloydenko; <a href="http://arxiv.org/abs/math/0406173v2">arXiv:math/0406173v2</a>; appeared in: Bernoulli 2008, Vol. 14, No. 2, 362-390.'
cit[191] = 'Extended degree functions and monomial modules, by Uwe Nagel and Tim Roemer; <a href="http://arxiv.org/abs/math/0406409v1">arXiv:math/0406409v1</a>.'
cit[192] = 'Phylogenetic invariants for stationary base composition, by Elizabeth S. Allman and John A. Rhodes; <a href="http://arxiv.org/abs/q-bio/0407035v1">arXiv:q-bio/0407035v1</a>.'
cit[193] = 'Multiplicities of the Most Singular Point on Schubert varieties on Gl(n)/B for n=5,6, by Alexander Woo; <a href="http://arxiv.org/abs/math/0407158v1">arXiv:math/0407158v1</a>.'
cit[194] = 'Solving the Likelihood Equations, by Serkan Hosten, Amit Khetan, and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0408270v2">arXiv:math/0408270v2</a>.'
cit[195] = 'Bernstein-Sato polynomials of arbitrary varieties, by Nero Budur, Mircea Mustata, and Morihiko Saito; <a href="http://arxiv.org/abs/math/0408408v6">arXiv:math/0408408v6</a>.'
cit[196] = 'A conjecture on the Poincar&eacute;-Betti series of modules of differential operators on a generic hyperplane arrangement, by Jan Snellman; <a href="http://arxiv.org/abs/math/0408437v2">arXiv:math/0408437v2</a>; appeared in: Experimental Mathematics, vol 14, number 4, 2005, pp 445-456.'
cit[197] = 'Time-Delay Interferometry, by Massimo Tinto and Sanjeev V. Dhurandhar; <a href="http://arxiv.org/abs/gr-qc/0409034v2">arXiv:gr-qc/0409034v2</a>; appeared in: LivingRev.Rel.8:4,2005.'
cit[198] = 'Some Geometric Results arising from the Borel Fixed Property, by Jeaman Ahn and Juan C. Migliore; <a href="http://arxiv.org/abs/math/0409114v1">arXiv:math/0409114v1</a>.'
cit[199] = 'Random Variables with Completely Independent Subcollections, by George A. Kirkup; <a href="http://arxiv.org/abs/math/0409237v1">arXiv:math/0409237v1</a>.'
cit[200] = 'Frobenius-unstable bundles and p-curvature, by Brian Osserman; <a href="http://arxiv.org/abs/math/0409266v1">arXiv:math/0409266v1</a>.'
cit[201] = 'A case study in bigraded commutative algebra, by David Cox, Alicia Dickenstein, and Hal Schenck; <a href="http://arxiv.org/abs/math/0409462v2">arXiv:math/0409462v2</a>.'
cit[202] = 'Brauer loops and the commuting variety, by Jan de Gier and Bernard Nienhuis; <a href="http://arxiv.org/abs/math/0410392v2">arXiv:math/0410392v2</a>; appeared in: JSTAT (2005), P01006.'
cit[203] = 'The Multiplicity Conjecture in low codimensions, by Juan C. Migliore, Uwe Nagel, and Tim Römer; <a href="http://arxiv.org/abs/math/0410497v1">arXiv:math/0410497v1</a>.'
cit[204] = 'Resolutions of small sets of fat points, by Christopher Francisco; <a href="http://arxiv.org/abs/math/0411020v2">arXiv:math/0411020v2</a>; appeared in: J. Pure Appl. Algebra 203 (2005), 220-236.'
cit[205] = 'Dualit&eacute; et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres, by F. J. Calderon-Moreno and L. Narvaez-Macarro; <a href="http://arxiv.org/abs/math/0411045v2">arXiv:math/0411045v2</a>; appeared in: Annales de l\'Institut Fourier 55, 1 (2005),47-75.'
cit[206] = 'Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad), by Hirotachi Abo; <a href="http://arxiv.org/abs/math/0411051v1">arXiv:math/0411051v1</a>.'
cit[207] = 'The 3-cuspidal quartic and braid monodromy of degree 4 coverings, by Fabrizio Catanese and Bronislaw Wajnryb; <a href="http://arxiv.org/abs/math/0411235v3">arXiv:math/0411235v3</a>.'
cit[208] = 'Rational curves of degree 10 on a general quintic threefold, by Ethan Cotterill; <a href="http://arxiv.org/abs/math/0412002v2">arXiv:math/0412002v2</a>.'
cit[209] = 'On the arithmetic of tight closure, by Holger Brenner and Mordechai Katzman; <a href="http://arxiv.org/abs/math/0412033v2">arXiv:math/0412033v2</a>.'
cit[210] = 'Algebraic invariants for right-angled Artin groups, by Stefan Papadima and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0412520v2">arXiv:math/0412520v2</a>; appeared in: Mathematische Annalen 334 (2006), no. 3, 533-555.'
cit[211] = 'Lex-plus-powers ideals, by C. A. Francisco and B. P. Richert,  preprint, February 2005, <a href="http://www.math.missouri.edu/~chrisf/lpp-revised-final.pdf">http://www.math.missouri.edu/~chrisf/lpp-revised-final.pdf</a>, to appear, Lect. Notes Pure Appl. Math.'
cit[212] = 'Multiplicity conjectures, by C. A. Francisco and H. Srinivasan, preprint, March 2005, to appear, Lect. Notes Pure Appl. Math, <a href="http://www.math.missouri.edu/~chrisf/multiplicity-final.pdf">http://www.math.missouri.edu/~chrisf/multiplicity-final.pdf</a>.'
cit[213] = 'Polytopes, toric varieties, and ideals, by Lisa Byrne, <a href="http://www.mtholyoke.edu/~jsidman/byrnePaper.pdf">http://www.mtholyoke.edu/~jsidman/byrnePaper.pdf</a>, Mount Holyoke REU paper, Summer, 2005.'
cit[214] = 'Selfatopes and their properties, Sarah Gilles, <a href="http://www.mtholyoke.edu/~jsidman/gillesPaper.pdf">http://www.mtholyoke.edu/~jsidman/gillesPaper.pdf</a>, Mount Holyoke REU paper, Summer, 2005.'
cit[215] = 'Algorithms for even-sided selfagons, by Frances Worek, <a href="http://www.mtholyoke.edu/~jsidman/worekPaper.pdf">http://www.mtholyoke.edu/~jsidman/worekPaper.pdf</a>, Mount Holyoke REU paper, Summer, 2005.'
cit[216] = 'Derivation modules of orthogonal duals of hyperplane arrangements,  by Joseph P. S. Kung and Hal Schenck, preprint, October 2005,  to appear in Journal of Algebraic Combinatorics, <a href="http://www.math.tamu.edu/~schenck/PD.pdf">http://www.math.tamu.edu/~schenck/PD.pdf</a>.'
cit[217] = 'Degeneracy of two and three forms, by L. M. Feher, A. Nemethi, and R. Rimanyi, Canad. Math. Bull. 48 (2005) 547-560, <a href="http://www.unc.edu/~rimanyi/cikkek/formak6.ps.gz">http://www.unc.edu/~rimanyi/cikkek/formak6.ps.gz</a>.'
cit[218] = '<a href="http://people.bath.ac.uk/masgks/Theses/logiudice.pdf">The unirationality of the moduli space of &eacute;tale double covers of genus five curves</a>, by Marco Lo Giudice, PhD thesis, Univ. of Milan.'
cit[219] = '<a href="http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521688604">Integral Closure of Ideals, Rings, and Modules</a>, by Irena Swanson and Craig Huneke, Cambridge University Press,  London Mathematical Society Lecture Note Series 336, Cambridge, 2006, ISBN-13:9780521688604, ISBN-10:0521688604.'
cit[220] = 'Involutive Algorithms for Computing Groebner Bases, by Vladimir P. Gerdt; <a href="http://arxiv.org/abs/math/0501111v1">arXiv:math/0501111v1</a>.'
cit[221] = 'A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces, by Willem A. de Graaf, Michael Harrison, Jana Pilnikova, and Josef Schicho; <a href="http://arxiv.org/abs/math/0501157v2">arXiv:math/0501157v2</a>.'
cit[222] = 'The generic Groebner walk, by K. Fukuda, A. N. Jensen, N. Lauritzen, and R. Thomas; <a href="http://arxiv.org/abs/math/0501345v3">arXiv:math/0501345v3</a>; appeared in: J. Symb. Comp. 42 (2007), 298-312.'
cit[223] = '<i><i>M</i><sub>15</sub></i> is rationally connected, by Andrea Bruno and Alessandro Verra; <a href="http://arxiv.org/abs/math/0501455v1">arXiv:math/0501455v1</a>.'
cit[224] = 'Conjectures on the ring of commuting matrices, by Freyja Hreinsdottir; <a href="http://arxiv.org/abs/math/0501465v1">arXiv:math/0501465v1</a>.'
cit[225] = 'Syzygies, multigraded regularity and toric varieties, by Milena Hering, Hal Schenck, and Gregory G. Smith; <a href="http://arxiv.org/abs/math/0502240v2">arXiv:math/0502240v2</a>; appeared in: Compositio Mathematica 142 (2006) 1499-1506.'
cit[226] = 'Secant varieties of toric varieties, by David Cox and Jessica Sidman; <a href="http://arxiv.org/abs/math/0502344v4">arXiv:math/0502344v4</a>.'
cit[227] = 'Computation of Poincare-Betti series for monomial rings, by Mikael Johansson; <a href="http://arxiv.org/abs/math/0502348v1">arXiv:math/0502348v1</a>; appeared in: Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85-94 (2006).'
cit[228] = 'Minimizing Polynomials Over Semialgebraic Sets, by Jiawang Nie, James W. Demmel, and Victoria Powers; <a href="http://arxiv.org/abs/math/0502391v1">arXiv:math/0502391v1</a>.'
cit[229] = 'On the homotopy Lie algebra of an arrangement, by Graham Denham and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0502417v2">arXiv:math/0502417v2</a>; appeared in: Michigan Mathematical Journal 54 (2006), no. 2, 319-340.'
cit[230] = 'Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence, by Henry K. Schenck and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0502438v2">arXiv:math/0502438v2</a>; appeared in: Trans. Amer. Math. Soc. 358 (2006), no. 5, 2269-2289.'
cit[231] = 'Moment angle complexes, monomial ideals, and Massey products, by Graham Denham and Alexander I. Suciu, preprint, December 2005, <a href="http://arxiv.org/abs/math/0502497">arXiv:math/0502497</a>.'
cit[232] = 'The bipartite Brill-Gordan locus and angular momentum, by Abdelmalek Abdesselam and Jaydeep Chipalkatti, <a href="http://arxiv.org/abs/math/0502542">arXiv:math/0502542</a>.'
cit[233] = 'Apolar schemes of algebraic forms, by Jaydeep Chipalkatti, <a href="http://arxiv.org/abs/math/0503106">arXiv:math/0503106</a>.'
cit[234] = 'Implicitization using approximation complexes, by Marc Chardin; <a href="http://arxiv.org/abs/math/0503180v1">arXiv:math/0503180v1</a>.'
cit[235] = 'On the componentwise linearity and the minimal free resolution of a tetrahedral curve, by Christopher A. Francisco, Juan C. Migliore, and Uwe Nagel; <a href="http://arxiv.org/abs/math/0503278v2">arXiv:math/0503278v2</a>; appeared in: J. Algebra 299 (2006), no. 2, 535-569.'
cit[236] = 'Tropical Convexity via Cellular Resolutions, by Florian Block and Josephine Yu; <a href="http://arxiv.org/abs/math/0503279v3">arXiv:math/0503279v3</a>.'
cit[237] = 'Fibrations of low genus, I., by Fabrizio Catanese and Roberto Pignatelli, to appear in Annales ENS after revision, <a href="http://arxiv.org/abs/math/0503294">arXiv:math/0503294</a>.'
cit[238] = 'On the Castelnuovo-Mumford regularity of ideals, in dimension 2, by Marc Chardin and Amadou Lamine Fall; <a href="http://arxiv.org/abs/math/0503740v1">arXiv:math/0503740v1</a>.'
cit[239] = 'Counting monomials, by Mordechai Katzman; <a href="http://arxiv.org/abs/math/0504113v1">arXiv:math/0504113v1</a>.'
cit[240] = 'Mixed multiplicities of ideals versus mixed volumes of polytopes, by Ngo Viet Trung and Jugal Verma; <a href="http://arxiv.org/abs/math/0504178v1">arXiv:math/0504178v1</a>.'
cit[241] = 'A presentation for the Chow ring of <span style="text-decoration: overline">M</span><sub>0,2</sub>(P<sup>1</sup>,2), by Jonathan A. Cox; <a href="http://arxiv.org/abs/math/0504575v2">arXiv:math/0504575v2</a>.'
cit[242] = 'A presentation for the Chow ring A<sup>*</sup>(<span style="text-decoration: overline">M</span><sub>0,2</sub>(P<sup>1</sup>,2)), by Jonathan A. Cox; <a href="http://arxiv.org/abs/math/0505112v1">arXiv:math/0505112v1</a>.'
cit[243] = 'Moduli of McKay quiver representations I: the coherent component, by Alastair Craw, Diane Maclagan, and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0505115v2">arXiv:math/0505115v2</a>.'
cit[244] = 'Extensions of the Multiplicity Conjecture, by Juan Migliore, Uwe Nagel, and Tim Roemer; <a href="http://arxiv.org/abs/math/0505229v1">arXiv:math/0505229v1</a>.'
cit[245] = 'Factoring the Adjoint and Maximal Cohen--Macaulay Modules over the Generic Determinant, by Ragnar-Olaf Buchweitz and Graham J. Leuschke; <a href="http://arxiv.org/abs/math/0505315v2">arXiv:math/0505315v2</a>.'
cit[246] = 'Endomorphism rings of finite global dimension, by Graham J. Leuschke; <a href="http://arxiv.org/abs/math/0505323v1">arXiv:math/0505323v1</a>.'
cit[247] = 'Multigraded regularity: coarsenings and resolutions, by Jessica Sidman, Adam Van Tuyl, and Haohao Wang; <a href="http://arxiv.org/abs/math/0505421v2">arXiv:math/0505421v2</a>.'
cit[248] = 'Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach, by Nero Budur, Mircea Mustata, and Morihiko Saito; <a href="http://arxiv.org/abs/math/0505472v1">arXiv:math/0505472v1</a>; appeared in: Math. Res. Lett. 13 (2006), no. 1, 125-142.'
cit[249] = 'Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals, by Nero Budur, Mircea Mustata, and Morihiko Saito; <a href="http://arxiv.org/abs/math/0505473v1">arXiv:math/0505473v1</a>.'
cit[250] = 'Experimental results for the Poincar&eacute; center problem, by Hans-Christian Graf v. Bothmer, including an appendix with M. Cremer,   <a href="http://arxiv.org/abs/math/0505547">arXiv:math/0505547</a>, to appear in NoDEA.'
cit[251] = 'New approaches to bounding the multiplicity of an ideal, by Christopher A. Francisco; <a href="http://arxiv.org/abs/math/0506024v1">arXiv:math/0506024v1</a>; appeared in: J. Algebra 299 (2006), no. 1, 309-328.'
cit[252] = 'Combinatorial secant varieties, by Bernd Sturmfels and Seth Sullivant; <a href="http://arxiv.org/abs/math/0506223v3">arXiv:math/0506223v3</a>.'
cit[253] = 'Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves, by David Eisenbud and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/math/0506391v2">arXiv:math/0506391v2</a>.'
cit[254] = 'Exceptional collections and D-branes probing toric singularities, by Christopher P. Herzog and Robert L. Karp; <a href="http://arxiv.org/abs/hep-th/0507175v3">arXiv:hep-th/0507175v3</a>; appeared in: JHEP 0602 (2006) 061.'
cit[255] = 'Monomial ideals via square-free monomial ideals, by Sara Faridi; <a href="http://arxiv.org/abs/math/0507238v1">arXiv:math/0507238v1</a>.'
cit[256] = 'Solvability of Symmetric Word Equations in Positive Definite Letters, by Scott N. Armstrong and Christopher J. Hillar; <a href="http://arxiv.org/abs/math/0507306v4">arXiv:math/0507306v4</a>.'
cit[257] = 'Resolutions of De Concini-Procesi ideals indexed by hooks, by Riccardo Biagioli, Sara Faridi, and Mercedes Rosas; <a href="http://arxiv.org/abs/math/0507611v1">arXiv:math/0507611v1</a>.'
cit[258] = 'Permutation branes and linear matrix factorisations, by Håkon Enger, Andreas Recknagel, and Daniel Roggenkamp; <a href="http://arxiv.org/abs/hep-th/0508053v2">arXiv:hep-th/0508053v2</a>; appeared in: JHEP0601:087,2006.'
cit[259] = 'A Modular Non-Rigid Calabi-Yau Threefold, by Edward Lee; <a href="http://arxiv.org/abs/math/0508127v2">arXiv:math/0508127v2</a>.'
cit[260] = 'The residuals of lex plus powers ideals and the Eisenbud-Green-Harris conjecture, by Benjamin P. Richert and Sindi Sabourin; <a href="http://arxiv.org/abs/math/0508334v1">arXiv:math/0508334v1</a>.'
cit[261] = 'Computing all roots of the likelihood equations of seemingly unrelated regressions, by Mathias Drton; <a href="http://arxiv.org/abs/math/0508437v1">arXiv:math/0508437v1</a>.'
cit[262] = 'Exterior algebra methods for the construction of rational surfaces in the projective fourspace, by Hirotachi Abo and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/math/0508582v1">arXiv:math/0508582v1</a>.'
cit[263] = 'Some families of componentwise linear monomial ideals, by Christopher A. Francisco and Adam Van Tuyl; <a href="http://arxiv.org/abs/math/0508589v2">arXiv:math/0508589v2</a>.'
cit[264] = 'The Circuit Ideal of a Vector Configuration, by Tristram Bogart, Anders N. Jensen, and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0508628v1">arXiv:math/0508628v1</a>.'
cit[265] = 'An algorithmic approach to resolutions, by Edward L. Green and Øyvind Solberg; <a href="http://arxiv.org/abs/math/0509020v1">arXiv:math/0509020v1</a>.'
cit[266] = 'Ideal Turaev-Viro invariants, by Simon A. King; <a href="http://arxiv.org/abs/math/0509187v1">arXiv:math/0509187v1</a>; appeared in: Topology and Its Applications 154 (2007), pp. 1141-1156.'
cit[267] = 'Algebraic Factor Analysis: Tetrads, Pentads and Beyond, by Mathias Drton, Bernd Sturmfels, and Seth Sullivant; <a href="http://arxiv.org/abs/math/0509390v2">arXiv:math/0509390v2</a>.'
cit[268] = 'On ideals of minors of matrices with indeterminate entries, by Mordechai Katzman; <a href="http://arxiv.org/abs/math/0509657v2">arXiv:math/0509657v2</a>.'
cit[269] = 'Minimal Primes Over Permanental Ideals, by George Kirkup; <a href="http://arxiv.org/abs/math/0510025v1">arXiv:math/0510025v1</a>.'
cit[270] = 'The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomology, by J. C. Liu and M. W. Rogers; <a href="http://arxiv.org/abs/math/0510322v1">arXiv:math/0510322v1</a>.'
cit[271] = 'Even sets of nodes on sextic surfaces, by Fabrizio Catanese and Fabio Tonoli, <a href="http://arxiv.org/abs/math/0510499">arXiv:math/0510499</a>.'
cit[272] = 'Betti Numbers and Degree Bounds for Some Linked Zero-Schemes, by Leah Gold, Hal Schenck, and Hema Srinivasan; <a href="http://arxiv.org/abs/math/0510552v1">arXiv:math/0510552v1</a>.'
cit[273] = 'Sequentially Cohen-Macaulay edge ideals, by C. A. Francisco and A. Van Tuyl, <a href="http://arxiv.org/abs/math/0511022">arXiv:math/0511022</a>, to appear, Proc. Amer. Math. Soc..'
cit[274] = 'Vacuum Geometry and the Search for New Physics, by James Gray, Yang-Hui He, Vishnu Jejjala, and Brent D. Nelson; <a href="http://arxiv.org/abs/hep-th/0511062v2">arXiv:hep-th/0511062v2</a>; appeared in: Phys.Lett. B638 (2006) 253-257.'
cit[275] = 'A probabilistic algorithm for the secant defect of Grassmann varieties, by Barbara McGillivray; <a href="http://arxiv.org/abs/math/0511683v1">arXiv:math/0511683v1</a>.'
cit[276] = 'A Calabi-Yau threefold with Brauer group (Z/8Z)<sup>2</sup>, by Mark Gross and Simone Pavanelli; <a href="http://arxiv.org/abs/math/0512182v1">arXiv:math/0512182v1</a>.'
cit[277] = 'Level algebras with bad properties, by Mats Boij and Fabrizio Zanello; <a href="http://arxiv.org/abs/math/0512198v3">arXiv:math/0512198v3</a>; appeared in: Proc. Amer. Math. Soc. 135 (2007), no. 9, 2713-2722.'
cit[278] = 'Moment-angle complexes, monomial ideals, and Massey products, by Graham Denham and Alexander I. Suciu; <a href="http://arxiv.org/abs/math/0512497v4">arXiv:math/0512497v4</a>; appeared in: Pure and Applied Mathematics Quarterly, 3(1) 2007, (Robert MacPherson special issue, part 3), 25-60.'
cit[279] = 'Balanced normal cones and Fulton-MacPherson&rsquo;s intersection theory, by Allen Knutson; <a href="http://arxiv.org/abs/math/0512632v1">arXiv:math/0512632v1</a>.'
cit[280] = '<a href="http://www.sciencedirect.com/science/journal/07477171">An improved term ordering for the ideal of commuting matrices</a>, by Freyja Hreinsd&oacute;ttir, Journal of Symbolic Computation 41 (2006) 999-1003.'
cit[281] = 'Quiver coefficients of Dynkin type, by Anders Skovsted Buch, <a href="http://math.rutgers.edu/~asbuch/papers/quivcoef.pdf">http://math.rutgers.edu/~asbuch/papers/quivcoef.pdf</a>.'
cit[282] = 'On the ideals and singularities of secant varieties of Segre varieties, by J. M. Landsberg and Jerzy Weyman; <a href="http://arxiv.org/abs/math/0601452v2">arXiv:math/0601452v2</a>.'
cit[283] = 'An algebraic formula for the index of a vector field on an isolated complete intersection singularity, by H. -Chr. Graf von Bothmer, W. Ebeling, and X. Gomez-Mont; <a href="http://arxiv.org/abs/math/0601640v3">arXiv:math/0601640v3</a>; appeared in: Annales de l\'Institut Fourier, Vol. 58 no. 5 (2008), p. 1761-1783.'
cit[284] = 'On the Jacobian ideal of the binary discriminant, by Carlos D\'Andrea and Jaydeep Chipalkatti (with an appendix by Abdelmalek Abdesselam), <a href="http://arxiv.org/abs/math/0601705">arXiv:math/0601705</a> *.'
cit[285] = 'The Horrocks-Mumford bundle restricted to planes, by Ada Boralevi; <a href="http://arxiv.org/abs/math/0602002v2">arXiv:math/0602002v2</a>.'
cit[286] = 'Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions, by Anton Leykin, Jan Verschelde, and Ailing Zhao; <a href="http://arxiv.org/abs/math/0602031v2">arXiv:math/0602031v2</a>.'
cit[287] = 'The pinched Veronese is Koszul, by Giulio Caviglia; <a href="http://arxiv.org/abs/math/0602487v1">arXiv:math/0602487v1</a>.'
cit[288] = 'Further properties of a function of Ogg and Ligozat, by Carlos Castano-Bernard; <a href="http://arxiv.org/abs/math/0603016v1">arXiv:math/0603016v1</a>.'
cit[289] = 'Epistasis and Shapes of Fitness Landscapes, by Niko Beerenwinkel, Lior Pachter, and Bernd Sturmfels; <a href="http://arxiv.org/abs/q-bio/0603034v2">arXiv:q-bio/0603034v2</a>.'
cit[290] = 'On the Cox ring of Del Pezzo surfaces, by Ulrich Derenthal; <a href="http://arxiv.org/abs/math/0603111v1">arXiv:math/0603111v1</a>.'
cit[291] = 'Multinets, resonance varieties, and pencils of plane curves, by Michael Falk and Sergey Yuzvinsky; <a href="http://arxiv.org/abs/math/0603166v6">arXiv:math/0603166v6</a>.'
cit[292] = 'Governing Singularities of Schubert Varieties, by Alexander Woo and Alexander Yong; <a href="http://arxiv.org/abs/math/0603273v2">arXiv:math/0603273v2</a>; appeared in: J. Algebra, Vol. 320 (2008), No. 2, p. 495-520.'
cit[293] = 'Classification of rational surfaces of degree 11 and sectional genus 11 in P<sup>4</sup>, by Hans-Christian Graf v. Bothmer and Kristian Ranestad; <a href="http://arxiv.org/abs/math/0603567v2">arXiv:math/0603567v2</a>; appeared in: Math. Scand. 104 (2009), 60\^a?"94.'
cit[294] = 'Derivation modules of orthogonal duals of hyperplane arrangements, by Joseph P. S. Kung and Hal Schenck; <a href="http://arxiv.org/abs/math/0604168v1">arXiv:math/0604168v1</a>.'
cit[295] = 'Free resolutions of parameter ideals over some rings with finite local cohomology, by Hamid Rahmati; <a href="http://arxiv.org/abs/math/0604178v1">arXiv:math/0604178v1</a>.'
cit[296] = 'Exploring the Vacuum Geometry of N=1 Gauge Theories, by James Gray, Yang-Hui He, Vishnu Jejjala, and Brent D. Nelson; <a href="http://arxiv.org/abs/hep-th/0604208v1">arXiv:hep-th/0604208v1</a>; appeared in: Nucl.Phys.B750:1-27,2006.'
cit[297] = 'Algebraic computation of some intersection D-modules, by F. J. Calderon-Moreno and L. Narvaez-Macarro; <a href="http://arxiv.org/abs/math/0604287v1">arXiv:math/0604287v1</a>.'
cit[298] = 'Hyperdeterminantal relations among symmetric principal minors, by Olga Holtz and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0604374v2">arXiv:math/0604374v2</a>; appeared in: Journal of Algebra, 316 (2007), no.2, 634-648.'
cit[299] = 'Minimal Betti Numbers, by Christopher Dodd, Andrew Marks, Victor Meyerson, and Ben Richert; <a href="http://arxiv.org/abs/math/0604479v2">arXiv:math/0604479v2</a>.'
cit[300] = 'On self-associated sets of points in small projective spaces, by Ivan Petrakiev; <a href="http://arxiv.org/abs/math/0604518v1">arXiv:math/0604518v1</a>.'
cit[301] = 'Reverse-engineering of polynomial dynamical systems, by Abdul Salam Jarrah, Reinhard Laubenbacher, Brandilyn Stigler, and Michael Stillman; <a href="http://arxiv.org/abs/q-bio/0605032v1">arXiv:q-bio/0605032v1</a>.'
cit[302] = 'The Casas-Alvero conjecture for infinitely many degrees, by Hans-Christian Graf von Bothmer, Oliver Labs, Josef Schicho, and Christiaan van de Woestijne; <a href="http://arxiv.org/abs/math/0605090v2">arXiv:math/0605090v2</a>; appeared in: Journal of Algebra, Volume 316, Issue 1, 1 October 2007, Pages 224-230.'
cit[303] = 'On the geometry of quiver gauge theories (Stacking exceptional collections), by Christopher P. Herzog and Robert L. Karp; <a href="http://arxiv.org/abs/hep-th/0605177v2">arXiv:hep-th/0605177v2</a>.'
cit[304] = 'An explicit construction of ruled surfaces, by Alberto Alzati and Fabio Tonoli; <a href="http://arxiv.org/abs/math/0605226v1">arXiv:math/0605226v1</a>.'
cit[305] = 'Whiskers and sequentially Cohen-Macaulay graphs, by Christopher A. Francisco and Huy Tai Ha; <a href="http://arxiv.org/abs/math/0605487v2">arXiv:math/0605487v2</a>; appeared in: J. Combin. Theory Ser. A 115 (2008), no. 2, 304-316.'
cit[306] = 'Tetrahedral curves via graphs and Alexander duality, by Christopher A. Francisco; <a href="http://arxiv.org/abs/math/0605588v2">arXiv:math/0605588v2</a>.'
cit[307] = 'Special Linear Series and Syzygies of Canonical Curves of Genus 9, by Michael Sagraloff; <a href="http://arxiv.org/abs/math/0605758v1">arXiv:math/0605758v1</a>.'
cit[308] = 'On meromorphic functions defined by a differential system of order 1, II, by Tristan Torrelli; <a href="http://arxiv.org/abs/math/0605787v1">arXiv:math/0605787v1</a>.'
cit[309] = ' Algorithmic Algebraic Geometry and Flux Vacua, by James Gray, Yang-Hui He, Andr&eacute; Lukas, JHEP 0609 (2006) 031, <a href="http://arxiv.org/abs/hep-th/0606122">arXiv:hep-th/0606122</a>.'
cit[310] = 'Computing the support of local cohomology modules, by Josep Àlvarez Montaner and Anton Leykin; <a href="http://arxiv.org/abs/math/0606142v2">arXiv:math/0606142v2</a>.'
cit[311] = 'Computing Groebner bases of ideals of few points in high dimensions, by Winfried Just and Brandilyn Stigler; <a href="http://arxiv.org/abs/math/0606189v2">arXiv:math/0606189v2</a>; appeared in: Communications in Computer Algebra 40 (3): 65-96, 2006.'
cit[312] = 'Minimal free resolutions and asymptotic behavior of multigraded regularity, by Huy Tai Ha and Brent Strunk; <a href="http://arxiv.org/abs/math/0606312v2">arXiv:math/0606312v2</a>.'
cit[313] = 'Toric geometry of cuts and splits, by Bernd Sturmfels and Seth Sullivant; <a href="http://arxiv.org/abs/math/0606683v2">arXiv:math/0606683v2</a>.'
cit[314] = 'Induction for secant varieties of Segre varieties, by Hirotachi Abo, Giorgio Ottaviani, and Chris Peterson; <a href="http://arxiv.org/abs/math/0607191v3">arXiv:math/0607191v3</a>.'
cit[315] = 'Moduli spaces of curves with linear series and the slope conjecture, by Deepak Khosla; <a href="http://arxiv.org/abs/math/0608024v1">arXiv:math/0608024v1</a>.'
cit[316] = 'Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics,  by Sergio Benvenuti, Bo Feng, Amihay Hanany, Yang-Hui He, <a href="http://arxiv.org/abs/hep-th/0608050">arXiv:hep-th/0608050</a>.'
cit[317] = 'On the toric algebra of graphical models, by Dan Geiger, Christopher Meek, and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0608054v1">arXiv:math/0608054v1</a>; appeared in: Annals of Statistics 2006, Vol. 34, No. 3, 1463-1492.'
cit[318] = 'Towards a general theory of unprojection, by Stavros Papadakis; <a href="http://arxiv.org/abs/math/0608158v1">arXiv:math/0608158v1</a>.'
cit[319] = 'Projective toric varieties as fine moduli spaces of quiver representations, by Alastair Craw and Gregory G. Smith; <a href="http://arxiv.org/abs/math/0608183v2">arXiv:math/0608183v2</a>; appeared in: American Journal of Mathematics 130 (2008) 1509-1534.'
cit[320] = 'One higher dimensional analog of jet schemes, by Cornelia Yuen; <a href="http://arxiv.org/abs/math/0608633v1">arXiv:math/0608633v1</a>.'
cit[321] = 'Three Applications of Instanton Numbers, by Elizabeth Gasparim and Pedro Ontaneda; <a href="http://arxiv.org/abs/math-ph/0609042v1">arXiv:math-ph/0609042v1</a>; appeared in: Commun.Math.Phys.270:1-12,2007.'
cit[322] = 'The minimal resolutions of double points in P<sup>1</sup> x P<sup>1</sup> with ACM support, by Elena Guardo and Adam Van Tuyl; <a href="http://arxiv.org/abs/math/0609564v2">arXiv:math/0609564v2</a>.'
cit[323] = 'Regularity and Normality of the Secant Variety to a Projective Curve, by Peter Vermeire; <a href="http://arxiv.org/abs/math/0610081v3">arXiv:math/0610081v3</a>.'
cit[324] = 'The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes, by Paul S. Aspinwall, <a href="http://arxiv.org/abs/hep-th/0610209">arXiv:hep-th/0610209</a>.'
cit[325] = 'Groebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces, by Mike Stillman, Damiano Testa, and Mauricio Velasco; <a href="http://arxiv.org/abs/math/0610261v1">arXiv:math/0610261v1</a>.'
cit[326] = 'Three Counterexamples on Semigraphoids, by Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, and Oliver Wienand; <a href="http://arxiv.org/abs/math/0610451v1">arXiv:math/0610451v1</a>.'
cit[327] = 'Resonance varieties over fields of positive characteristic, by Michael Falk; <a href="http://arxiv.org/abs/math/0611008v1">arXiv:math/0611008v1</a>.'
cit[328] = 'On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces, by Joshua P. Mullet; <a href="http://arxiv.org/abs/math/0611338v1">arXiv:math/0611338v1</a>.'
cit[329] = 'On the projective dimension and the unmixed part of three cubics, by Bahman Engheta; <a href="http://arxiv.org/abs/math/0611552v1">arXiv:math/0611552v1</a>; appeared in: Journal of Algebra 316 (2007), 715-734.'
cit[330] = 'The Algebraic Degree of Semidefinite Programming, by Jiawang Nie, Kristian Ranestad, and Bernd Sturmfels; <a href="http://arxiv.org/abs/math/0611562v3">arXiv:math/0611562v3</a>.'
cit[331] = 'Prolongations and computational algebra, by Jessica Sidman and Seth Sullivant; <a href="http://arxiv.org/abs/math/0611696v3">arXiv:math/0611696v3</a>.'
cit[332] = 'The characteristic polynomial of a multiarrangement, by Takuro Abe, Hiroaki Terao, and Max Wakefield; <a href="http://arxiv.org/abs/math/0611742v1">arXiv:math/0611742v1</a>; appeared in: Advances in Math. 215 (2007), 825-838.'
cit[333] = 'Moduli of McKay quiver representations II: Groebner basis techniques, by Alastair Craw, Diane Maclagan, and Rekha R. Thomas; <a href="http://arxiv.org/abs/math/0611840v2">arXiv:math/0611840v2</a>.'
cit[334] = 'Low-dimensional Singularities with Free Divisors as Discriminants, by Ragnar-Olaf Buchweitz, Wolfgang Ebeling, and Hans-Christian Graf v. Bothmer; <a href="http://arxiv.org/abs/math/0612119v2">arXiv:math/0612119v2</a>; appeared in: J. Algebraic Geom. 18 (2009), 371-406.'
cit[335] = 'Mixed Hodge polynomials of character varieties, by Tamas Hausel and Fernando Rodriguez-Villegas; <a href="http://arxiv.org/abs/math/0612668v3">arXiv:math/0612668v3</a>.'
cit[336] = 'Whiskers and sequentially Cohen-Macaulay graphs, by C. A. Francisco and H. Tai Ha, preprint, 2006, <a href="http://arxiv.org/abs/math/065487">arXiv:math/065487</a>.'
cit[337] = 'Resolutions and subspace arrangements, by J. Sidman, preprint, October, 2005, <a href="http://www.mtholyoke.edu/~jsidman/papers/res.pdf">http://www.mtholyoke.edu/~jsidman/papers/res.pdf</a>, to appear in the book "Syzygies and Hilbert Functions," edited by Irena Peeva, available March 26, 2007.'
cit[338] = '<a href="http://www.biomedcentral.com/1471-2148/7/60/abstract">Analysis of epistatic interactions and fitness landscapes using a new geometric approach</a>, by Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels, Santiago F. Elena, and Richard E. Lenski, BMC Evolutionary Biology 7:60 (2007).'
cit[339] = 'DMTCP: Transparent Checkpointing for Cluster Computations and the Desktop, by Jason Ansel, Kapil Arya, and Gene Cooperman; <a href="http://arxiv.org/abs/cs/0701037v3">arXiv:cs/0701037v3</a>.'
cit[340] = ' Counting Gauge Invariants: the Plethystic Program, by Bo Feng , Amihay Hanany, Yang-Hui He, to appear in JHEP, <a href="http://arxiv.org/abs/hep-th/0701063">arXiv:hep-th/0701063</a>.'
cit[341] = 'Homalg: A meta-package for homological algebra, by Mohamed Barakat and Daniel Robertz; <a href="http://arxiv.org/abs/math/0701146v2">arXiv:math/0701146v2</a>.'
cit[342] = 'Generalized local cohomology and regularity of Ext modules, by Marc Chardin and Kamran Divaani-Aazar; <a href="http://arxiv.org/abs/math/0701509v2">arXiv:math/0701509v2</a>.'
cit[343] = 'Examples of Calabi-Yau 3-folds of <i>&#x2119;<sup>7</sup></i> with <i>&rho;=1</i>, by Marie-Am&eacute;lie Bertin; <a href="http://arxiv.org/abs/math/0701511v1">arXiv:math/0701511v1</a>.'
cit[344] = 'Parameter test ideals of Cohen Macaulay rings, by Mordechai Katzman; <a href="http://arxiv.org/abs/math/0701591v3">arXiv:math/0701591v3</a>.'
cit[345] = 'Numerical obstructions to abelian surfaces in toric Fano 4-fold, by G. K. Sankaran; <a href="http://arxiv.org/abs/math/0701734v2">arXiv:math/0701734v2</a>.'
cit[346] = 'On liftable and weakly liftable modules, by Hailong Dao; <a href="http://arxiv.org/abs/math/0701884v1">arXiv:math/0701884v1</a>.'
cit[347] = 'Heterotic Compactification, An Algorithmic Approach, by Lara B. Anderson, Yang-Hui He, and Andre Lukas; <a href="http://arxiv.org/abs/hep-th/0702210v2">arXiv:hep-th/0702210v2</a>; appeared in: JHEP 0707:049,2007.'
cit[348] = 'On special p-Borel ideals, by Achilleas Sinefakopoulos; <a href="http://arxiv.org/abs/math/0702628v1">arXiv:math/0702628v1</a>.'
cit[349] = 'On Borel fixed ideals generated in one degree, by Achilleas Sinefakopoulos; <a href="http://arxiv.org/abs/math/0702629v1">arXiv:math/0702629v1</a>.'
cit[350] = 'Counterexamples regarding Symmetric Tensors and Divided Powers, by Christian Lundkvist; <a href="http://arxiv.org/abs/math/0702733v2">arXiv:math/0702733v2</a>.'
cit[351] = 'The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4, by Yasuhide Numata and Akihito Wachi; <a href="http://arxiv.org/abs/math/0703003v1">arXiv:math/0703003v1</a>.'
cit[352] = 'A New Method for Finding Vacua in String Phenomenology, by James Gray, Yang-Hui He, Anton Ilderton, and Andre Lukas; <a href="http://arxiv.org/abs/hep-th/0703249v2">arXiv:hep-th/0703249v2</a>; appeared in: JHEP0707:023,2007.'
cit[353] = 'Topological D-Branes and Commutative Algebra, by Paul S. Aspinwall; <a href="http://arxiv.org/abs/hep-th/0703279v2">arXiv:hep-th/0703279v2</a>.'
cit[354] = 'On the homology of two-dimensional elimination, by J. Hong, A. Simis, and W. V. Vasconcelos; <a href="http://arxiv.org/abs/0704.0608v1">arXiv:0704.0608v1</a>.'
cit[355] = 'Algebraic geometry of Gaussian Bayesian networks, by Seth Sullivant; <a href="http://arxiv.org/abs/0704.0918v2">arXiv:0704.0918v2</a>.'
cit[356] = 'Tautological classes on moduli spaces of curves with linear series and a push-forward formula when <i>&rho;=0</i>, by Deepak Khosla; <a href="http://arxiv.org/abs/0704.1340v1">arXiv:0704.1340v1</a>.'
cit[357] = 'Sums of squares over totally real fields are rational sums of squares, by Christopher J. Hillar; <a href="http://arxiv.org/abs/0704.2824v4">arXiv:0704.2824v4</a>.'
cit[358] = 'Gaussian conditional independence relations have no finite complete characterization, by Seth Sullivant; <a href="http://arxiv.org/abs/0704.2847v1">arXiv:0704.2847v1</a>.'
cit[359] = 'Glicci simplicial complexes, by Uwe Nagel and Tim Roemer; <a href="http://arxiv.org/abs/0704.3283v1">arXiv:0704.3283v1</a>.'
cit[360] = 'The Special McKay correspondence as an equivalence of derived categories, by Alastair Craw; <a href="http://arxiv.org/abs/0704.3627v2">arXiv:0704.3627v2</a>.'
cit[361] = 'Gorenstein algebras and Hochschild cohomology, by L. L. Avramov and S. Iyengar; <a href="http://arxiv.org/abs/0704.3761v3">arXiv:0704.3761v3</a>; appeared in: Mich. Math. J. 57 (2008), 17-35.'
cit[362] = 'Computing the core of ideals in arbitrary characteristic, by Louiza Fouli; <a href="http://arxiv.org/abs/0705.1808v2">arXiv:0705.1808v2</a>.'
cit[363] = 'Counting Chiral Operators in Quiver Gauge Theories, by Agostino Butti, Davide Forcella, Amihay Hanany, David Vegh, and Alberto Zaffaroni; <a href="http://arxiv.org/abs/0705.2771v1">arXiv:0705.2771v1</a>; appeared in: JHEP 0711:092,2007.'
cit[364] = 'Picard-Fuchs Differential Equations for Families of K3 Surfaces, by James P Smith; <a href="http://arxiv.org/abs/0705.3658v1">arXiv:0705.3658v1</a>.'
cit[365] = 'The Label Algorithm For Irreducible Decomposition of Monomial Ideals, by Bjarke Hammersholt Roune; <a href="http://arxiv.org/abs/0705.4483v1">arXiv:0705.4483v1</a>.'
cit[366] = 'The role of the cotangent bundle in resolving ideals of fat points in the plane, by Alessandro Gimigliano, Brian Harbourne, and Monica Idà; <a href="http://arxiv.org/abs/0706.2144v1">arXiv:0706.2144v1</a>.'
cit[367] = 'Betti numbers for fat point ideals in the plane: a geometric approach, by Alessandro Gimigliano, Brian Harbourne, and Monica Idà; <a href="http://arxiv.org/abs/0706.2588v1">arXiv:0706.2588v1</a>.'
cit[368] = 'Generic initial ideals and fibre products, by Aldo Conca and Tim Roemer; <a href="http://arxiv.org/abs/0707.0678v1">arXiv:0707.0678v1</a>.'
cit[369] = 'On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices, by Christopher J. Hillar and Charles R. Johnson; <a href="http://arxiv.org/abs/0707.0712v1">arXiv:0707.0712v1</a>.'
cit[370] = 'Weyl closure of hypergeometric systems, by Laura Felicia Matusevich; <a href="http://arxiv.org/abs/0707.1120v2">arXiv:0707.1120v2</a>.'
cit[371] = 'Multiplicity Bounds for Quadratic Monomial Ideals, by Manoj Kummini; <a href="http://arxiv.org/abs/0707.1311v2">arXiv:0707.1311v2</a>.'
cit[372] = 'Reducible family of height three level algebras, by Mats Boij and Anthony Iarrobino; <a href="http://arxiv.org/abs/0707.2148v2">arXiv:0707.2148v2</a>.'
cit[373] = 'The Jacobian ideal of a hyperplane arrangement, by Max Wakefield and Masahiko Yoshinaga; <a href="http://arxiv.org/abs/0707.2672v1">arXiv:0707.2672v1</a>.'
cit[374] = 'Classification of free actions on complete intersections of four quadrics, by Zheng Hua; <a href="http://arxiv.org/abs/0707.4339v1">arXiv:0707.4339v1</a>.'
cit[375] = 'Some calculations on type II<sub>1</sub> unprojection, by Stavros Argyrios Papadakis; <a href="http://arxiv.org/abs/0708.0727v1">arXiv:0708.0727v1</a>.'
cit[376] = 'Obstructions to Genericity in Study of Parametric Problems in Control Theory, by Viktor Levandovskyy and Eva Zerz; <a href="http://arxiv.org/abs/0708.2078v1">arXiv:0708.2078v1</a>.'
cit[377] = 'Detecting Infinitely Many Semisimple Representations in a Fixed Finite Dimension, by Edward S. Letzter; <a href="http://arxiv.org/abs/0708.3190v3">arXiv:0708.3190v3</a>.'
cit[378] = 'On the symmetric subscheme of Hilbert scheme of points, by Kyungyong Lee; <a href="http://arxiv.org/abs/0708.3390v2">arXiv:0708.3390v2</a>.'
cit[379] = 'Quiver coefficients of Dynkin type, by Anders Skovsted Buch; <a href="http://arxiv.org/abs/0708.3418v1">arXiv:0708.3418v1</a>.'
cit[380] = 'Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies, by Laurent Busé and Marc Dohm; <a href="http://arxiv.org/abs/0708.4230v1">arXiv:0708.4230v1</a>; appeared in: Dans International Conference on Symbolic and Algebraic Computation (2007) 69 - 76.'
cit[381] = 'Mirror symmetry and tropical geometry, by Janko Boehm; <a href="http://arxiv.org/abs/0708.4402v1">arXiv:0708.4402v1</a>.'
cit[382] = 'Freeness of Conic-Line Arrangements in <i>&#x2119;<sup>2</sup></i>, by Hal Schenck and Stefan O. Tohaneanu; <a href="http://arxiv.org/abs/0709.1890v1">arXiv:0709.1890v1</a>.'
cit[383] = 'Local holomorphic Euler characteristic and instanton decay, by Elizabeth Gasparim, Thomas Köppe, and Pushan Majumdar; <a href="http://arxiv.org/abs/0709.2577v2">arXiv:0709.2577v2</a>; appeared in: Pure Appl. Math. Q. 4 no. 2, Special Issue: In honor of Fedya Bogomolov, Part 1, 161-179 (2008).'
cit[384] = 'A local version of Gotzmann&rsquo;s Persistence, by Morgan Sherman; <a href="http://arxiv.org/abs/0710.0186v1">arXiv:0710.0186v1</a>.'
cit[385] = 'Sums of hermitian squares and the BMV conjecture, by Igor Klep and Markus Schweighofer; <a href="http://arxiv.org/abs/0710.1074v4">arXiv:0710.1074v4</a>.'
cit[386] = 'Non-vanishing theorems for rank 2 bundles on P<sup>3</sup>: a simple approach without the speciality lemma, by Paolo Valabrega and Mario Valenzano; <a href="http://arxiv.org/abs/0710.2242v2">arXiv:0710.2242v2</a>.'
cit[387] = 'Finite Field Experiments (with an Appendix by Stefan Wiedmann), by Hans-Christian Graf v. Bothmer; <a href="http://arxiv.org/abs/0710.4268v1">arXiv:0710.4268v1</a>; appeared in: Higher-Dimensional Geometry over Finite Fields, Nato Science for Peace and Security Series, Vol. 16 (2008), p. 1-62.'
cit[388] = 'Numerical obstructions to abelian surfaces in toric Fano 4-folds, by G. K. Sankaran; <a href="http://arxiv.org/abs/0710.4284v1">arXiv:0710.4284v1</a>.'
cit[389] = 'Castelnuovo-Mumford regularity and reduction number of smooth monomial curves, by Michael Hellus, Lê Tuân Hoa, and Jürgen Stückrad; <a href="http://arxiv.org/abs/0710.4376v1">arXiv:0710.4376v1</a>.'
cit[390] = 'Congruences of lines in <i>&#x2119;<sup>5</sup></i>, quadratic normality, and completely exceptional Monge-Amp&egrave;re equations, by Pietro De Poi and Emilia Mezzetti; <a href="http://arxiv.org/abs/0710.5110v1">arXiv:0710.5110v1</a>.'
cit[391] = 'Rational curves of degree 11 on a general quintic threefold, by Ethan Cotterill; <a href="http://arxiv.org/abs/0711.2758v1">arXiv:0711.2758v1</a>.'
cit[392] = 'Efficiently computing Groebner bases of ideals of points, by Winfried Just and Brandilyn Stigler; <a href="http://arxiv.org/abs/0711.3475v1">arXiv:0711.3475v1</a>.'
cit[393] = 'The Computation of the Logarithmic Cohomology for Plane Curves, by Francisco Jesus Castro-Jimenez and Nobuki Takayama; <a href="http://arxiv.org/abs/0712.0001v2">arXiv:0712.0001v2</a>.'
cit[394] = 'Betti Numbers of Graded Modules and Cohomology of Vector Bundles, by David Eisenbud and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/0712.1843v3">arXiv:0712.1843v3</a>.'
cit[395] = 'Hypergeometric D-modules and twisted Gauss-Manin systems, by Mathias Schulze and Uli Walther; <a href="http://arxiv.org/abs/0712.2021v3">arXiv:0712.2021v3</a>.'
cit[396] = 'Betti numbers of monomial ideals and shifted skew shapes, by Uwe Nagel and Victor Reiner; <a href="http://arxiv.org/abs/0712.2537v1">arXiv:0712.2537v1</a>.'
cit[397] = 'Computing sum of squares decompositions with rational coefficients, by Helfried Peyrl and Pablo A. Parrilo, Theoretical Computer Science 409 (2008) 269-281, <a href="http://dx.doi.org/10.1016/j.tcs.2008.09.025">http://dx.doi.org/10.1016/j.tcs.2008.09.025</a>.'
cit[398] = 'Interfacing external CA systems for Gröbner bases computation in MIZAR proof checking, by Adam Naumowicz, International Journal of Computer Mathematics, 03 June 2008, <a href="http://www.informaworld.com/smpp/content~content=a793710395~db=all~order=pubdate">informaworld.com</a>.'
cit[399] = 'The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented, by Jan-Erik Roos, Experimental Mathematics 17:2, <a href="http://akpeters.metapress.com/content/g65mn4653r614182/fulltext.pdf">129-143</a>.'
cit[400] = 'A mathematical formalism for agent-based modeling, by Reinhard Laubenbacher, Abdul S. Jarrah, Henning Mortveit, and S. S. Ravi; <a href="http://arxiv.org/abs/0801.0249v1">arXiv:0801.0249v1</a>.'
cit[401] = 'The Goto numbers of parameter ideals, by William Heinzer and Irena Swanson; <a href="http://arxiv.org/abs/0801.0685v1">arXiv:0801.0685v1</a>.'
cit[402] = 'Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems, by Luis A. Dupont and Rafael H. Villarreal; <a href="http://arxiv.org/abs/0801.1478v2">arXiv:0801.1478v2</a>.'
cit[403] = 'STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology, by James Gray, Yang-Hui He, Anton Ilderton, and André Lukas; <a href="http://arxiv.org/abs/0801.1508v1">arXiv:0801.1508v1</a>; appeared in: Comput.Phys.Commun.180:107-119,2009.'
cit[404] = 'The Master Space of N=1 Gauge Theories, by Davide Forcella, Amihay Hanany, Yang-Hui He, and Alberto Zaffaroni; <a href="http://arxiv.org/abs/0801.1585v2">arXiv:0801.1585v2</a>.'
cit[405] = 'Numerical primary decomposition, by Anton Leykin; <a href="http://arxiv.org/abs/0801.3105v2">arXiv:0801.3105v2</a>.'
cit[406] = 'Mastering the Master Space, by Davide Forcella, Amihay Hanany, Yang-Hui He, and Alberto Zaffaroni; <a href="http://arxiv.org/abs/0801.3477v1">arXiv:0801.3477v1</a>; appeared in: Lett.Math.Phys.85:163-171,2008.'
cit[407] = 'Jumping numbers of hyperplane arrangements, by Nero Budur; <a href="http://arxiv.org/abs/0802.0878v3">arXiv:0802.0878v3</a>.'
cit[408] = 'Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, by N. V. Trung and J. K. Verma; <a href="http://arxiv.org/abs/0802.2329v1">arXiv:0802.2329v1</a>.'
cit[409] = 'Hilbert schemes of 8 points, by Dustin A. Cartwright, Daniel Erman, Mauricio Velasco, and Bianca Viray; <a href="http://arxiv.org/abs/0803.0341v2">arXiv:0803.0341v2</a>.'
cit[410] = 'The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman, by Riccardo Biagioli, Sara Faridi, and Mercedes Rosas; <a href="http://arxiv.org/abs/0803.0658v1">arXiv:0803.0658v1</a>.'
cit[411] = 'Cohen-Macaulay admissible clutters, by Huy Tai Ha, Susan Morey, and Rafael H. Villarreal; <a href="http://arxiv.org/abs/0803.1332v1">arXiv:0803.1332v1</a>.'
cit[412] = 'On the algebraic geometry of polynomial dynamical systems, by Abdul S. Jarrah and Reinhard Laubenbacher; <a href="http://arxiv.org/abs/0803.1825v1">arXiv:0803.1825v1</a>.'
cit[413] = 'Alternatives for Testing Total Dual Integrality, by Edwin O&rsquo;Shea and Andras Sebo; <a href="http://arxiv.org/abs/0803.2065v1">arXiv:0803.2065v1</a>.'
cit[414] = 'Combinatorics of binomial primary decomposition, by Alicia Dickenstein, Laura Felicia Matusevich, and Ezra Miller; <a href="http://arxiv.org/abs/0803.3846v1">arXiv:0803.3846v1</a>.'
cit[415] = 'Local moduli of holomorphic bundles, by Edoardo Ballico, Elizabeth Gasparim, and Thomas Köppe; <a href="http://arxiv.org/abs/0803.4216v2">arXiv:0803.4216v2</a>; appeared in: J. Pure Appl. Algebra 213, pp 397-408 (2009).'
cit[416] = 'SQCD: A Geometric Apercu, by James Gray, Amihay Hanany, Yang-Hui He, Vishnu Jejjala, and Noppadol Mekareeya; <a href="http://arxiv.org/abs/0803.4257v2">arXiv:0803.4257v2</a>; appeared in: JHEP0805:099,2008.'
cit[417] = 'Rationality of the moduli spaces of plane curves of sufficiently large degree, by Christian Böhning and Hans-Christian Graf v. Bothmer; <a href="http://arxiv.org/abs/0804.1503v1">arXiv:0804.1503v1</a>.'
cit[418] = 'The rationality of the moduli space of curves of genus 3 after P. Katsylo, by Christian Böhning; <a href="http://arxiv.org/abs/0804.1509v1">arXiv:0804.1509v1</a>.'
cit[419] = 'Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors, by Luis Narvaez-Macarro; <a href="http://arxiv.org/abs/0804.2219v1">arXiv:0804.2219v1</a>.'
cit[420] = 'The core of ideals in arbitrary characteristic, by Louiza Fouli, Claudia Polini, and Bernd Ulrich; <a href="http://arxiv.org/abs/0804.2690v1">arXiv:0804.2690v1</a>.'
cit[421] = 'Graded mapping cone theorem, multisecants and syzygies, by Jeaman Ahn and Sijong Kwak; <a href="http://arxiv.org/abs/0804.3757v2">arXiv:0804.3757v2</a>.'
cit[422] = 'The singularities of the principal component of the Hilbert scheme of points, by Kyungyong Lee; <a href="http://arxiv.org/abs/0805.3672v2">arXiv:0805.3672v2</a>.'
cit[423] = 'Algebraic methods for detecting odd holes in a graph, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; <a href="http://arxiv.org/abs/0806.1159v1">arXiv:0806.1159v1</a>.'
cit[424] = 'Fibers of Generic Projections, by Roya Beheshti and David Eisenbud; <a href="http://arxiv.org/abs/0806.1928v3">arXiv:0806.1928v3</a>.'
cit[425] = 'D-Branes on Toric Calabi-Yau Varieties, by Paul S. Aspinwall; <a href="http://arxiv.org/abs/0806.2612v2">arXiv:0806.2612v2</a>.'
cit[426] = 'q,t-Fuss-Catalan numbers for complex reflection groups, by Christian Stump; <a href="http://arxiv.org/abs/0806.2936v1">arXiv:0806.2936v1</a>.'
cit[427] = 'Syzygies of the secant variety of a curve, by Jessica Sidman and Peter Vermeire; <a href="http://arxiv.org/abs/0806.3056v3">arXiv:0806.3056v3</a>.'
cit[428] = 'Log minimal model program for the moduli space of stable curves: The first flip, by Brendan Hassett and Donghoon Hyeon; <a href="http://arxiv.org/abs/0806.3444v1">arXiv:0806.3444v1</a>.'
cit[429] = 'The Slice Algorithm For Irreducible Decomposition of Monomial Ideals, by Bjarke Hammersholt Roune; <a href="http://arxiv.org/abs/0806.3680v1">arXiv:0806.3680v1</a>; appeared in: Journal of Symbolic Computation, Volume 44, Issue 4, April 2009, Pages 358-381.'
cit[430] = 'The Semigroup of Betti Diagrams, by Daniel Erman; <a href="http://arxiv.org/abs/0806.4401v2">arXiv:0806.4401v2</a>.'
cit[431] = 'The Rank of a Hypergeometric System, by Christine Berkesch; <a href="http://arxiv.org/abs/0807.0453v2">arXiv:0807.0453v2</a>.'
cit[432] = 'On the symmetry of b-functions of linear free divisors, by Michel Granger and Mathias Schulze; <a href="http://arxiv.org/abs/0807.0560v2">arXiv:0807.0560v2</a>.'
cit[433] = 'Feynman motives of banana graphs, by Paolo Aluffi and Matilde Marcolli; <a href="http://arxiv.org/abs/0807.1690v2">arXiv:0807.1690v2</a>.'
cit[434] = 'The Five Points Pose Problem : A New and Accurate Solution Adapted to any Geometric Configuration, by Mahzad Kalantari, Franck Jung, JeanPierre Guedon, and Nicolas Paparoditis; <a href="http://arxiv.org/abs/0807.2047v3">arXiv:0807.2047v3</a>.'
cit[435] = 'Splittings of monomial ideals, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; <a href="http://arxiv.org/abs/0807.2185v2">arXiv:0807.2185v2</a>.'
cit[436] = 'Powers of Ideals and Fibers of Morphisms, by David Eisenbud and Joe Harris; <a href="http://arxiv.org/abs/0807.4243v1">arXiv:0807.4243v1</a>.'
cit[437] = 'A-graded methods for monomial ideals, by Christine Berkesch and Laura Felicia Matusevich; <a href="http://arxiv.org/abs/0807.4306v2">arXiv:0807.4306v2</a>.'
cit[438] = 'Matrix representations for toric parametrizations, by Nicolás Botbol, Alicia Dickenstein, and Marc Dohm; <a href="http://arxiv.org/abs/0807.4802v1">arXiv:0807.4802v1</a>.'
cit[439] = 'Efficient computation of resonance varieties via Grassmannians, by P. Lima-Filho and H. Schenck; <a href="http://arxiv.org/abs/0808.2027v2">arXiv:0808.2027v2</a>.'
cit[440] = 'Piecewise polynomials on polyhedral complexes, by T. McDonald and H. Schenck; <a href="http://arxiv.org/abs/0808.2031v1">arXiv:0808.2031v1</a>.'
cit[441] = 'How to Draw Tropical Planes, by Sven Herrmann, Anders Jensen, Michael Joswig, and Bernd Sturmfels; <a href="http://arxiv.org/abs/0808.2383v4">arXiv:0808.2383v4</a>.'
cit[442] = 'Newton Binomial Formulas in Schubert Calculus, by Jorge Cordovez, Letterio Gatto, and Taise Santiago; <a href="http://arxiv.org/abs/0809.2528v1">arXiv:0809.2528v1</a>.'
cit[443] = 'Hodge spectrum of hyperplane arrangements, by Nero Budur; <a href="http://arxiv.org/abs/0809.3443v2">arXiv:0809.3443v2</a>.'
cit[444] = 'Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups, by Toshiaki Maeno, Yasuhide Numata, and Akihito Wachi; <a href="http://arxiv.org/abs/0809.3558v1">arXiv:0809.3558v1</a>.'
cit[445] = 'Properties of Koszul homology modules, by Uwe Nagel and Tony J. Puthenpurakal; <a href="http://arxiv.org/abs/0809.3853v1">arXiv:0809.3853v1</a>.'
cit[446] = 'Secant varieties of Segre-Veronese varieties P<sup>m</sup> x P<sup>n</sup> embedded by O(1,2), by Hirotachi Abo and Maria Chiara Brambilla; <a href="http://arxiv.org/abs/0809.4837v2">arXiv:0809.4837v2</a>.'
cit[447] = 'Birational aspects of the geometry of M<sub>g</sub>, by Gavril Farkas; <a href="http://arxiv.org/abs/0810.0702v2">arXiv:0810.0702v2</a>.'
cit[448] = 'Postulation of general quartuple fat point schemes in P<sup>3</sup>, by Edoardo Ballico and Maria Chiara Brambilla; <a href="http://arxiv.org/abs/0810.1372v1">arXiv:0810.1372v1</a>.'
cit[449] = 'Linear systems in P<sup>3</sup> with low degrees and low multiplicities, by Marcin Dumnicki; <a href="http://arxiv.org/abs/0810.2117v1">arXiv:0810.2117v1</a>.'
cit[450] = 'GIT Constructions of Moduli Spaces of Stable Curves and Maps, by Ian Morrison; <a href="http://arxiv.org/abs/0810.2340v1">arXiv:0810.2340v1</a>.'
cit[451] = 'The <i>cl-core</i> of an ideal, by Louiza Fouli and Janet Vassilev; <a href="http://arxiv.org/abs/0810.3033v1">arXiv:0810.3033v1</a>.'
cit[452] = 'A survey on Cox rings, by Antonio Laface and Mauricio Velasco; <a href="http://arxiv.org/abs/0810.3730v1">arXiv:0810.3730v1</a>.'
cit[453] = 'Computing inclusions of Schur modules, by Steven V Sam; <a href="http://arxiv.org/abs/0810.4666v2">arXiv:0810.4666v2</a>; appeared in: Journal of Software for Algebra and Geometry 1 (2009), 5-10.'
cit[454] = 'The curve of lines on a prime Fano threefold of genus 8, by Flaminio Flamini and Edoardo Sernesi; <a href="http://arxiv.org/abs/0811.0523v2">arXiv:0811.0523v2</a>.'
cit[455] = '(n-1)-st Koszul homology and the structure of monomial ideals, by Anna M. Bigatti and E. Saenz-de-Cabezon; <a href="http://arxiv.org/abs/0811.1013v1">arXiv:0811.1013v1</a>.'
cit[456] = 'First Nonlinear Syzygies of Ideals Associated to Graphs, by Oscar Fernandez-Ramos and Philippe Gimenez; <a href="http://arxiv.org/abs/0811.1865v1">arXiv:0811.1865v1</a>.'
cit[457] = 'AG Codes from Polyhedral Divisors, by Nathan Ilten and Hendrik Süß; <a href="http://arxiv.org/abs/0811.2696v2">arXiv:0811.2696v2</a>.'
cit[458] = 'Koszul cohomology and applications to moduli, by Marian Aprodu and Gavril Farkas; <a href="http://arxiv.org/abs/0811.3117v1">arXiv:0811.3117v1</a>.'
cit[459] = 'Computing Irreducible Decomposition of Monomial Ideals, by Shuhong Gao and Mingfu Zhu; <a href="http://arxiv.org/abs/0811.3425v1">arXiv:0811.3425v1</a>.'
cit[460] = 'Smooth and irreducible multigraded Hilbert schemes, by Diane Maclagan and Gregory G. Smith; <a href="http://arxiv.org/abs/0811.3594v1">arXiv:0811.3594v1</a>.'
cit[461] = 'Zero-nonzero patterns for nilpotent matrices over finite fields, by Kevin N. Vander Meulen and Adam Van Tuyl; <a href="http://arxiv.org/abs/0812.0527v1">arXiv:0812.0527v1</a>.'
cit[462] = 'Nef divisors on <span style="text-decoration: overline">M</span><sub>0,n</sub> from GIT, by Valery Alexeev and David Swinarski; <a href="http://arxiv.org/abs/0812.0778v1">arXiv:0812.0778v1</a>.'
cit[463] = 'Power operations for Morava E-theory of height 2 at the prime 2, by Charles Rezk; <a href="http://arxiv.org/abs/0812.1320v1">arXiv:0812.1320v1</a>.'
cit[464] = 'Commuting birth-and-death processes, by Steven N. Evans, Bernd Sturmfels, and Caroline Uhler; <a href="http://arxiv.org/abs/0812.2724v1">arXiv:0812.2724v1</a>.'
cit[465] = 'A Clebsch-Gordan formula for SL<sub>3</sub> and applications to rationality, by Christian Böhning and Hans-Christian Graf v. Bothmer; <a href="http://arxiv.org/abs/0812.3278v1">arXiv:0812.3278v1</a>.'
cit[466] = 'Koszul obstructions for deformations of 0-schemes of regularity two, by Daniel Erman and Mauricio Velasco; <a href="http://arxiv.org/abs/0812.3342v2">arXiv:0812.3342v2</a>.'
cit[467] = 'Growth in the minimal injective resolution of a local ring, by Lars Winther Christensen, Janet Striuli, and Oana Veliche; <a href="http://arxiv.org/abs/0812.4672v2">arXiv:0812.4672v2</a>.'
cit[468] = 'Socle degrees, Resolutions, and Frobenius powers, by Andrew R. Kustin and Bernd Ulrich; <a href="http://arxiv.org/abs/0812.4966v1">arXiv:0812.4966v1</a>.'
cit[469] = 'Quilting semi-regular tesselations, by Irena Swanson, a book, to appear, <a href="http://www.reed.edu/~iswanson/semireg.pdf">http://www.reed.edu/~iswanson/semireg.pdf</a>.  Macaulay 2 was used to program the pictures and output the tex/pstricks code.'
cit[470] = 'A Grobner basis for Kazhdan-Lusztig ideals, by A. Woo and A. Yong, preprint, <a href="http://www.math.uiuc.edu/~ayong/WYIV.ps">http://www.math.uiuc.edu/~ayong/WYIV.ps</a>.'
cit[471] = 'The Computation of the Logarithmic Cohomology for Plane Curves, by Francisco-Jesús Castro-Jiménez and Nobuki Takayama, 26 August, 2009, Journal of Algebra, <a href="http://dx.doi.org/10.1016/j.jalgebra.2009.03.039">http://dx.doi.org/10.1016/j.jalgebra.2009.03.039</a>.'
cit[472] = 'Steven Glenn Jackson and Alfred G. Noel, A new approach to computing generators for U(g)<sup>K</sup>, in press, Journal of Algebra, <a href="http://dx.doi.org/10.1016/j.jalgebra.2009.07.004">http://dx.doi.org/10.1016/j.jalgebra.2009.07.004</a>.'
cit[473] = 'The Hilbert scheme of the diagonal in a product of projective spaces, by Dustin Cartwright and Bernd Sturmfels; <a href="http://arxiv.org/abs/0901.0212v2">arXiv:0901.0212v2</a>.'
cit[474] = 'The Orlik-Terao algebra and 2-formality, by Hal Schenck and Stefan Tohaneanu; <a href="http://arxiv.org/abs/0901.0253v1">arXiv:0901.0253v1</a>.'
cit[475] = 'An algorithm for computing the integral closure, by Anurag K. Singh and Irena Swanson; <a href="http://arxiv.org/abs/0901.0871v1">arXiv:0901.0871v1</a>.'
cit[476] = 'Geometry of genus 9 Fano 4-fold, by Han Frederic; <a href="http://arxiv.org/abs/0901.1054v2">arXiv:0901.1054v2</a>.'
cit[477] = 'q,t-Fuss-Catalan numbers for finite reflection groups, by Christian Stump; <a href="http://arxiv.org/abs/0901.1574v1">arXiv:0901.1574v1</a>.'
cit[478] = 'A Simple Introduction to Grobner Basis Methods in String Phenomenology, by James Gray; <a href="http://arxiv.org/abs/0901.1662v1">arXiv:0901.1662v1</a>.'
cit[479] = 'Non-Defectivity of Grassmannians of planes, by Hirotachi Abo, Giorgio Ottaviani, and Chris Peterson; <a href="http://arxiv.org/abs/0901.2601v1">arXiv:0901.2601v1</a>.'
cit[480] = 'Real ideal and the duality of semidefinite programming for polynomial optimization, by Yoshiyuki Sekiguchi, Tomoyuki Takenawa, and Hayato Waki; <a href="http://arxiv.org/abs/0901.2998v2">arXiv:0901.2998v2</a>.'
cit[481] = 'Locally complete intersection Stanley-Reisner ideals, by Naoki Terai and Ken-ichi Yoshida; <a href="http://arxiv.org/abs/0901.3899v1">arXiv:0901.3899v1</a>.'
cit[482] = 'Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals, by Manoj Kummini; <a href="http://arxiv.org/abs/0902.0437v1">arXiv:0902.0437v1</a>.'
cit[483] = 'The binomial ideal of the intersection axiom for conditional probabilities, by Alex Fink; <a href="http://arxiv.org/abs/0902.1495v2">arXiv:0902.1495v2</a>.'
cit[484] = 'Cohomology of Coherent Sheaves and Series of Supernatural Bundles, by David Eisenbud and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/0902.1594v1">arXiv:0902.1594v1</a>.'
cit[485] = 'A family of exceptional Stewart-Gough mechanisms of genus 7, by Florian Geiss and Frank-Olaf Schreyer; <a href="http://arxiv.org/abs/0902.2354v1">arXiv:0902.2354v1</a>.'
cit[486] = 'Koszul homology and syzygies of Veronese subalgebras, by Winfried Bruns, Aldo Conca, and Tim Roemer; <a href="http://arxiv.org/abs/0902.2431v1">arXiv:0902.2431v1</a>.'
cit[487] = 'Frobenius maps on injective hulls and their applications to tight closure, by Mordechai Katzman; <a href="http://arxiv.org/abs/0902.3110v1">arXiv:0902.3110v1</a>.'
cit[488] = 'Linear series on ribbons, by Dawei Chen; <a href="http://arxiv.org/abs/0902.4065v1">arXiv:0902.4065v1</a>.'
cit[489] = 'A modular quintic Calabi-Yau threefold of level 55, by Edward Lee; <a href="http://arxiv.org/abs/0903.1140v1">arXiv:0903.1140v1</a>.'
cit[490] = 'A convex polynomial that is not sos-convex, by Amir Ali Ahmadi and Pablo A. Parrilo; <a href="http://arxiv.org/abs/0903.1287v1">arXiv:0903.1287v1</a>.'
cit[491] = 'Cohomology of Congruence Subgroups of SL<sub>4</sub>(Z). III, by Avner Ash, Paul E. Gunnells, and Mark McConnell; <a href="http://arxiv.org/abs/0903.3201v2">arXiv:0903.3201v2</a>.'
cit[492] = 'Rationality of moduli spaces of plane curves of small degree, by Christian Böhning, Hans-Christian Graf von Bothmer, and Jakob Kröker; <a href="http://arxiv.org/abs/0904.0890v1">arXiv:0904.0890v1</a>.'
cit[493] = 'Calabi-Yau Three-folds and Moduli of Abelian Surfaces II, by Mark Gross and Sorin Popescu; <a href="http://arxiv.org/abs/0904.3354v2">arXiv:0904.3354v2</a>.'
cit[494] = 'Hyper-K&auml;hler fourfolds and Grassmann geometry, by Olivier Debarre and Claire Voisin; <a href="http://arxiv.org/abs/0904.3974v2">arXiv:0904.3974v2</a>.'
cit[495] = 'Siphons in chemical reaction networks, by Anne Shiu and Bernd Sturmfels; <a href="http://arxiv.org/abs/0904.4529v1">arXiv:0904.4529v1</a>.'
cit[496] = 'Invariants, torsion indices and oriented cohomology of complete flags, by Baptiste Calmès, Victor Petrov, and Kirill Zainoulline; <a href="http://arxiv.org/abs/0905.1341v1">arXiv:0905.1341v1</a>.'
cit[497] = 'Computations of instanton invariants, by Thomas Köppe; <a href="http://arxiv.org/abs/0905.2745v1">arXiv:0905.2745v1</a>.'
cit[498] = 'Towards Mori&rsquo;s program for the moduli space of stable maps, by Dawei Chen, Izzet Coskun, and Charley Crissman; <a href="http://arxiv.org/abs/0905.2947v1">arXiv:0905.2947v1</a>.'
cit[499] = 'A New Solution to the Relative Orientation Problem using only 3 Points and the Vertical Direction, by Mahzad Kalantari, Amir Hashemi, Franck Jung, and JeanPierre Guedon; <a href="http://arxiv.org/abs/0905.3964v1">arXiv:0905.3964v1</a>.'
cit[500] = 'A non-finitely generated algebra of Frobenius maps, by Mordechai Katzman; <a href="http://arxiv.org/abs/0906.1083v1">arXiv:0906.1083v1</a>.'
cit[501] = 'Equations of Almost Complete Intersections, by Jooyoun Hong, Aron Simis, and Wolmer Vasconcelos; <a href="http://arxiv.org/abs/0906.1591v1">arXiv:0906.1591v1</a>.'
cit[502] = 'Experimentation at the Frontiers of Reality in Schubert Calculus, by Christopher Hillar, Luis Garcia-Puente, Abraham Martin del Campo, James Ruffo, Zach Teitler, Stephen L. Johnson, and Frank Sottile; <a href="http://arxiv.org/abs/0906.2497v1">arXiv:0906.2497v1</a>.'
cit[503] = 'Multivariate Gaussians, Semidefinite Matrix Completion, and Convex Algebraic Geometry, by Bernd Sturmfels and Caroline Uhler; <a href="http://arxiv.org/abs/0906.3529v1">arXiv:0906.3529v1</a>.'
cit[504] = 'Decompositions of Binomial Ideals, by Thomas Kahle; <a href="http://arxiv.org/abs/0906.4873v2">arXiv:0906.4873v2</a>.'
cit[505] = 'Blow-ups of <i>&#x2119;<sup>n-3</sup></i> at <i>n</i> points and spinor varieties, by Bernd Sturmfels and Mauricio Velasco; <a href="http://arxiv.org/abs/0906.5096v1">arXiv:0906.5096v1</a>.'
cit[506] = 'Critical points and resonance of hyperplane arrangements, by D. Cohen, G. Denham, M. Falk, and A. Varchenko; <a href="http://arxiv.org/abs/0907.0896v1">arXiv:0907.0896v1</a>.'
cit[507] = 'Bound on the projective dimension of three cubics, by Bahman Engheta; <a href="http://arxiv.org/abs/0907.1703v1">arXiv:0907.1703v1</a>.'
cit[508] = 'Computing Multidimensional Persistence, by Gunnar Carlsson, Gurjeet Singh, and Afra Zomorodian; <a href="http://arxiv.org/abs/0907.2423v1">arXiv:0907.2423v1</a>.'
cit[509] = 'Pieri resolutions for classical groups, by Steven V Sam and Jerzy Weyman; <a href="http://arxiv.org/abs/0907.4505v1">arXiv:0907.4505v1</a>.'
cit[510] = 'Quiver flag varieties and multigraded linear series, by Alastair Craw; <a href="http://arxiv.org/abs/0907.4659v1">arXiv:0907.4659v1</a>.'
cit[511] = 'Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations, by Teresa Cortadellas Benitez and Carlos D&rsquo;Andrea; <a href="http://arxiv.org/abs/0907.4669v1">arXiv:0907.4669v1</a>.'
cit[512] = 'Depths of Powers of the Edge Ideal of a Tree, by Susan Morey; <a href="http://arxiv.org/abs/0908.0553v1">arXiv:0908.0553v1</a>.'
cit[513] = 'A <i>Macaulay 2</i> interface for Normaliz, by Winfried Bruns and Gesa Kaempf; <a href="http://arxiv.org/abs/0908.1308v1">arXiv:0908.1308v1</a>.'
cit[514] = 'Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; <a href="http://arxiv.org/abs/0908.1505v1">arXiv:0908.1505v1</a>.'
cit[515] = 'Laurent polynomials and Eulerian numbers, by Daniel Erman, Gregory G. Smith, and Anthony Várilly-Alvarado; <a href="http://arxiv.org/abs/0908.2609v1">arXiv:0908.2609v1</a>.'
