The nilpotence conjecture in K-theory of toric varieties, by Joseph Gubeladze

arXiv:math.KT/0209112

It is shown that all nontrivial elements in higher K-groups of toric varieties over a class of regular rings are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.


Joseph Gubeladze <soso@math.sfsu.edu>