Derived moduli of schemes and sheaves
Abstract
We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks. Examples of problems represented by derived geometric 1-stacks are derived moduli of polarised projective varieties, derived moduli of vector bundles, and derived moduli of abelian varieties.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- 10.48550/arXiv.1011.2742
- arXiv:
- arXiv:1011.2742
- Bibcode:
- 2010arXiv1011.2742P
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology
- E-Print:
- 33 pages