The derived moduli space of stable sheaves

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

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)781-812
Number of pages32
JournalAlgebra and Number Theory
Volume8
Issue number4
DOIs
StatePublished - 2014

Keywords

  • Curved differential graded lie algebras
  • Differential graded schemes
  • Stable sheaves

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