Constructing derived moduli stacks
Algebraic Geometry
2014-11-11 v2
Abstract
We introduce frameworks for constructing global derived moduli stacks associated to a broad range of problems, bridging the gap between the concrete and abstract conceptions of derived moduli. Our three approaches are via differential graded Lie algebras, via cosimplicial groups, and via quasi-comonoids, each more general than the last. Explicit examples of derived moduli problems addressed here are finite schemes, polarised projective schemes, torsors, coherent sheaves, and finite group schemes.
Cite
@article{arxiv.1101.3300,
title = {Constructing derived moduli stacks},
author = {J. P. Pridham},
journal= {arXiv preprint arXiv:1101.3300},
year = {2014}
}
Comments
53 pages; v2 final version, to appear in Geometry & Topology