Coherent Tannaka duality and algebraicity of Hom-stacks

Hall, Jack; Rydh, David

doi:10.2140/ant.2019.13.1633

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Coherent Tannaka duality and algebraicity of Hom-stacks

Jack Hall and David Rydh

Vol. 13 (2019), No. 7, 1633–1675

DOI: 10.2140/ant.2019.13.1633

Abstract

We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence of $\underline{Hom}$ -stacks in great generality.

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Keywords

Tannaka duality, algebraic stacks, Hom-stacks, Mayer–Vietoris squares, formal gluings

Mathematical Subject Classification 2010

Primary: 14A20

Secondary: 14D23, 18D10

Milestones

Received: 5 July 2017

Revised: 31 October 2018

Accepted: 8 March 2019

Published: 21 September 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. 7, 2019