Openness of versality via coherent functors

Jack Hall

doi:10.1515/crelle-2014-0057

Openness of versality via coherent functors

Jack Hall

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English (US)
Pages (from-to)	137-182
Number of pages	46
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2017
Issue number	722
DOIs	https://doi.org/10.1515/crelle-2014-0057
State	Published - Jan 2017
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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Openness of versality via coherent functors

Abstract

ASJC Scopus subject areas

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