Artin’s criteria for algebraicity revisited

Hall, Jack; Rydh, David

doi:10.2140/ant.2019.13.749

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Artin's criteria for algebraicity revisited

Jack Hall and David Rydh

Vol. 13 (2019), No. 4, 749–796

DOI: 10.2140/ant.2019.13.749

Abstract

Using notions of homogeneity we give new proofs of M. Artin’s algebraicity criteria for functors and groupoids. Our methods give a more general result, unifying Artin’s two theorems and clarifying their differences.

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Keywords

algebraic stacks, deformation theory, obstruction theories

Mathematical Subject Classification 2010

Primary: 14D15

Secondary: 14D23

Milestones

Received: 4 July 2013

Revised: 28 May 2018

Accepted: 3 August 2018

Published: 6 May 2019

Authors

Jack Hall
Department of Mathematics University of Arizona Tucson, AZ United States

David Rydh
Department of Mathematics KTH Royal Institute of Technology Stockholm Sweden

Vol. 13, No. 4, 2019