The derived moduli space of stable sheaves

Details The derived moduli space of stable sheaves The derived moduli space of stable sheaves

2010-04-12

arxiv.org/abs/1004.1884v1

Mathematics

Algebraic Geometry

Scientific paper

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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