Formal completions and idempotent completions of triangulated categories of singularities

被引：54
|
作者：
Orlov, Dmitri [1 ]
机构：
[1] Steklov Math Inst RAN, Algebra Sect, Moscow 119991, Russia
来源：
ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 01期
关键词：
Triangulated categories of singularities; Idempotent completion; NEGATIVE K-THEORY; SUBCATEGORIES;
D O I：
10.1016/j.aim.2010.06.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this paper is to prove that the idempotent completions of triangulated categories of singularities of two schemes are equivalent if the formal completions of these schemes along singularities are isomorphic. We also discuss Thomason's theorem on dense subcategories and a relation to the negative K-theory. (c) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：206 / 217
页数：12
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