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
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
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