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arXiv · 1004.1884

The derived moduli space of stable sheaves

K. Behrend·I. Ciocan-Fontanine·J. Hwang·M. Rose
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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.

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K. Behrend, I. Ciocan-Fontanine, J. Hwang, M. Rose. 2010-04-12. The derived moduli space of stable sheaves. https://doi.org/10.2140/ant.2014.8.781

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