DG quotients of DG categories

被引：221
作者：
Drinfeld, V [1 ]
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
JOURNAL OF ALGEBRA | 2004年 / 272卷 / 02期
基金：
美国国家科学基金会;
关键词：
DG category; triangulated category; derived category; localization;
D O I：
10.1016/j.jalgebra.2003.05.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt to further develop his theory. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：643 / 691
页数：49
相关论文
共 57 条
[1]  
AVRAMOV L, 1986, LECT NOTES MATH, V1183, P1
[2]  
AVRAMOV L, UNPUB DIFFERENTIAL G
[3]  
Benabou J., 1967, LECT NOTES MATH, V47, P1
[4]  
Bernstein J., 1994, LECT NOTES MATH, V1578
[5]   ENHANCED TRIANGULATED CATEGORIES [J].
BONDAL, AI ;
KAPRANOV, MM .
MATHEMATICS OF THE USSR-SBORNIK, 1991, 70 (01) :93-107
[6]  
BONDAL AI, 1989, MATH USSR IZV+, V53, P519
[7]   COHOMOLOGY THEORIES [J].
BROWN, EH .
ANNALS OF MATHEMATICS, 1962, 75 (03) :467-&
[8]   ABSTRACT HOMOTOPY THEORY [J].
BROWN, EH .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 119 (01) :79-&
[9]   TWISTED TENSOR PRODUCTS .1. [J].
BROWN, EH .
ANNALS OF MATHEMATICS, 1959, 69 (01) :223-246
[10]  
DELIGNE P, SGA 4, V3
123456