K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst , by G. Cortinas , C. Haesemeyer , and C. A. Weibel

In this paper we prove that for an affine scheme essentially of finite type over a field F and of dimension d, Kd+1-regularity implies regularity, assuming that the characteristic of F is zero. This verifies a conjecture of Vorst.

G. Cortinas <gcorti@agt.uva.es >
C. Haesemeyer <chh@math.uiuc.edu >
C. A. Weibel <weibel@math.rutgers.edu >