On the vanishing of negative K-groups
Algebraic Geometry
2010-08-25 v3 K-Theory and Homology
Abstract
Let k be an infinite perfect field of positive characteristic p and assume that strong resolution of singularities holds over k. We prove that, if X is a d-dimensional noetherian scheme whose underlying reduced scheme is essentially of finite type over the field k, then the negative K-group K_q(X) vanishes for every q < -d. This partially affirms a conjecture of Weibel.
Cite
@article{arxiv.0811.0652,
title = {On the vanishing of negative K-groups},
author = {Thomas Geisser and Lars Hesselholt},
journal= {arXiv preprint arXiv:0811.0652},
year = {2010}
}
Comments
Math. Ann. (to appear)