Vol. 13, No. 4, 2019

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Artin's criteria for algebraicity revisited

Jack Hall and David Rydh

Vol. 13 (2019), No. 4, 749–796
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