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 language | English (US) |
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Pages (from-to) | 781-812 |
Number of pages | 32 |
Journal | Algebra and Number Theory |
Volume | 8 |
Issue number | 4 |
DOIs | |
State | Published - 2014 |
Keywords
- Curved differential graded lie algebras
- Differential graded schemes
- Stable sheaves