The derived moduli space of stable sheaves
Algebraic Geometry
2016-01-20 v1
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.
Cite
@article{arxiv.1004.1884,
title = {The derived moduli space of stable sheaves},
author = {K. Behrend and I. Ciocan-Fontanine and J. Hwang and M. Rose},
journal= {arXiv preprint arXiv:1004.1884},
year = {2016}
}