On a conjecture of Vorst

Let k be an infinite perfect field of positive characteristic p and assume that strong resolution of singularities holds over k. We prove that, as conjectured by Vorst, a localization of a d-dimensional commutative k-algebra R of finite type is Kd+1-regular if and only if it is regular.

Lars Hesselholt <larsh@math.nagoya-u.ac.jp>