Coherent Tannaka duality and algebraicity of Hom-stacks

Jack Hall; David Rydh

doi:10.2140/ant.2019.13.1633

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 7 > Article

2019 Coherent Tannaka duality and algebraicity of Hom-stacks

Jack Hall, David Rydh

Algebra Number Theory 13(7): 1633-1675 (2019). DOI: 10.2140/ant.2019.13.1633

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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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Jack Hall. David Rydh. "Coherent Tannaka duality and algebraicity of Hom-stacks." Algebra Number Theory 13 (7) 1633 - 1675, 2019. https://doi.org/10.2140/ant.2019.13.1633

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Received: 5 July 2017; Revised: 31 October 2018; Accepted: 8 March 2019; Published: 2019

First available in Project Euclid: 16 January 2020

zbMATH: 1423.14010

MathSciNet: MR4009673

Digital Object Identifier: 10.2140/ant.2019.13.1633

Subjects:

Primary: 14A20

Secondary: 14D23 , 18D10

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

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Jack Hall, David Rydh "Coherent Tannaka duality and algebraicity of Hom-stacks," Algebra & Number Theory, Algebra Number Theory 13(7), 1633-1675, (2019)

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