On the negative K-theory of schemes in finite characteristic

Krishna, Amalendu (2009) On the negative K-theory of schemes in finite characteristic Journal of Algebra, 322 (6). pp. 2118-2130. ISSN 0021-8693

[img] PDF - Other
205kB

Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jalgebra.2009.05.038

Abstract

We show that if X is a d-dimensional scheme of finite type over an infinite perfect field k of characteristic p>0, then Ki(X)=0 and X is Ki-regular for i<-d-2 whenever the resolution of singularities holds over k. This proves the K-dimension conjecture of Weibel [C. Weibel, K-theory and analytic isomorphisms, Invent. Math. 61 (1980) 177–197, 2.9] (except for −d−1⩽i⩽−d−2) in all characteristics, assuming the resolution of singularities.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:K-theory; Singular Varieties; Topological Cyclic Homology
ID Code:102555
Deposited On:09 Mar 2018 10:48
Last Modified:09 Mar 2018 10:48

Repository Staff Only: item control page