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

页码：781 / 812

页数：32

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