Openness of versality via coherent functors
Algebraic Geometry
2013-04-09 v2
Abstract
We give a proof of openness of versality using coherent functors. As an application, we streamline Artin's criterion for algebraicity of a stack. We also introduce multi-step obstruction theories, employing them to produce obstruction theories for the stack of coherent sheaves, the Quot functor, and spaces of maps in the presence of non-flatness.
Cite
@article{arxiv.1206.4182,
title = {Openness of versality via coherent functors},
author = {Jack Hall},
journal= {arXiv preprint arXiv:1206.4182},
year = {2013}
}
Comments
32 pages, revised Introduction