The derived moduli space of stable sheaves

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...

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Bibliographic Details
Published in:arXiv.org 2010-04
Main Authors: Behrend, K, Ciocan-Fontanine, I, Hwang, J, Rose, M
Format: Article
Language:English
Subjects:
Group theory
Modules
Sheaves
Stability
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1004.1884