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BIBTEX RIS

The derived moduli space of stable sheaves

2014; Mathematical Sciences Publishers; Volume: 8; Issue: 4 Linguagem: Inglês

10.2140/ant.2014.8.781

ISSN

1944-7833

Autores

Kai Behrend, Ionuţ Ciocan-Fontanine, Junho Hwang, Michael Rose,

Tópico(s)

Advanced Algebra and Geometry

Resumo

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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