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>