On the vanishing of negative K-groups

Let k be an infinite perfect field of positive characteristic p and assume that strong resolution of singularities holds over k. Let X be a d-dimensional noetherian scheme such that Xred is a scheme essentially of finite type over the field k. We show that the Bass negative K-groups Kq(X) vanish, for q < -d. This partially affirms a conjecture of Weibel.

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