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