Vanishing of negative K-theory in positive characteristic

被引：10
|
作者：
Kelly, Shane [1 ]
机构：
[1] Tokyo Inst Technol, Interact Res Ctr Sci, Grad Sch Sci & Engn, Meguro Ku, Tokyo 1528551, Japan
来源：
COMPOSITIO MATHEMATICA | 2014年 / 150卷 / 08期
关键词：
COHOMOLOGY;
D O I：
10.1112/S0010437X14007301
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show how a theorem of Gabber on alterations can be used to apply the work of Cisinski, Suslin, Voevodsky, and Weibel to prove that K-n(X) circle times Z[1/p] = 0 for n < -dim X where X is a quasi-excellent noetherian scheme, p is a prime that is nilpotent on X, and K-n is the K-theory of Bass Thomason Trobaugh. This gives a partial answer to a question of Weibel.
引用
收藏
页码：1425 / 1434
页数：10
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