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

共 50 条

[31] Examples of smooth components of moduli spaces of stable sheaves
Fabian Reede
Ziyu Zhang
manuscripta mathematica, 2021, 165 : 605 - 621
[32] Some notes on the moduli of stable sheaves on elliptic surfaces
Yoshioka, K
NAGOYA MATHEMATICAL JOURNAL, 1999, 154 : 73 - 102
[33] Betti numbers of moduli of stable sheaves on some surfaces
Yoshioka, K
NUCLEAR PHYSICS B, 1996, : 263 - 268
[34] Wall crossing for moduli of stable sheaves on an elliptic surface
Kōta Yoshioka
Mathematische Zeitschrift, 2024, 306
[35] CONSTRUCTION OF MODULI SPACE OF SEMISTABLE SHEAVES ON A PROJECTIVE PLANE
LEPOTIER, J
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1994, 122 (03): : 363 - 369
[36] The moduli space of sheaves and a generalization of MacMahon’s formula
A. Yu. Buryak
Functional Analysis and Its Applications, 2013, 47 : 96 - 103
[37] Moduli space of principal sheaves over projective varieties
Gómez, T
Sols, I
ANNALS OF MATHEMATICS, 2005, 161 (02) : 1037 - 1092
[38] The Picard Group of the Moduli Space of Sheaves on a Quadric Surface
Pedchenko, Dmitrii
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (23) : 18676 - 18765
[39] The geometry of the moduli space of one-dimensional sheaves
CHOI Jinwon
CHUNG Kiryong
Science China(Mathematics), 2015, 58 (03) : 487 - 500
[40] The geometry of the moduli space of one-dimensional sheaves
Jinwon Choi
Kiryong Chung
Science China Mathematics, 2015, 58 : 487 - 500

← 1 2 3 4 5 →