Nisnevich descent for K-theory of Deligne-Mumford stacks

被引：10
|
作者：
Krishna, Amalendu [1 ]
Ostvaer, Paul Arne [2 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Univ Oslo, Dept Math, N-0316 Oslo, Norway
来源：
JOURNAL OF K-THEORY | 2012年 / 9卷 / 02期
关键词：
Deligne-Mumford stacks; K-theory of perfect complexes; Nisnevich descent; UNBOUNDED COMPLEXES; INTERSECTION THEORY; ALGEBRAIC STACKS; CYCLIC HOMOLOGY; RESOLUTION; SCHEMES;
D O I：
10.1017/is011006028jkt161
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show localization, excision and descent theorems for K-theory of Deligne-Mumford stacks. Our approach employs the Nisnevich site which is a complete, regular and bounded cd-structure on the category of such stacks and restricts to the usual Nisnevich site on schemes. By combining excision with a refinement of localization sequences due to Krishna and Toen, we show that K-theory of perfect complexes on tame Deligne-Mumford stacks satisfies Nisnevich descent.
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页码：291 / 331
页数：41
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