The derived moduli space of stable sheaves

被引：4
|
作者：
Behrend, Kai [1 ]
Ciocan-Fontanine, Ionut [2 ]
Hwang, Junho [1 ]
Rose, Michael [3 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
ALGEBRA & NUMBER THEORY | 2014年 / 8卷 / 04期
关键词：
differential graded schemes; curved differential graded Lie algebras; stable sheaves;
D O I：
10.2140/ant.2014.8.781
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. We show that the natural notion of GIT stability for graded modules reproduces stability for sheaves.
引用
收藏
页码：781 / 812
页数：32
相关论文
共 50 条
12345