Deriving Deligne-Mumford Stacks with Perfect Obstruction Theories
Algebraic Geometry
2014-11-11 v4
Abstract
We give conditions for a n-connective quasicoherent obstruction theory on a Deligne-Mumford stack to come from the structure of a connective spectral Deligne-Mumford stack on the underlying topos.
Keywords
Cite
@article{arxiv.1005.3945,
title = {Deriving Deligne-Mumford Stacks with Perfect Obstruction Theories},
author = {Timo Schürg},
journal= {arXiv preprint arXiv:1005.3945},
year = {2014}
}
Comments
25 pages; v.4: Assumptions added to correct Lemma; Main result now gives necessary and sufficient conditions for an obstruction theory to be induced by a derived structure; Erratum to published version is to appear