Translator Disclaimer
2014 The derived moduli space of stable sheaves
Kai Behrend, Ionut Ciocan-Fontanine, Junho Hwang, Michael Rose
Algebra Number Theory 8(4): 781-812 (2014). DOI: 10.2140/ant.2014.8.781

Abstract

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.

Citation

Download Citation

Kai Behrend. Ionut Ciocan-Fontanine. Junho Hwang. Michael Rose. "The derived moduli space of stable sheaves." Algebra Number Theory 8 (4) 781 - 812, 2014. https://doi.org/10.2140/ant.2014.8.781

Information

Received: 28 April 2010; Revised: 3 September 2012; Accepted: 21 November 2012; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1327.14058
MathSciNet: MR3248985
Digital Object Identifier: 10.2140/ant.2014.8.781

Subjects:
Primary: 14D20

Rights: Copyright © 2014 Mathematical Sciences Publishers

JOURNAL ARTICLE
32 PAGES


SHARE
Vol.8 • No. 4 • 2014
MSP
Back to Top