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Fixed point stacks under groups of multiplicative type

Abstract : We prove that if a group scheme of multiplicative type acts on an algebraic stack with affine, finitely presented diagonal then the stack of fixed points is algebraic. For this, we extend two theorems of [SGA3.2] on functors of subgroups of multiplicative type, and functors of homomorphisms from a group of multiplicative type.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03101022
Contributor : Matthieu Romagny <>
Submitted on : Wednesday, January 6, 2021 - 9:44:35 PM
Last modification on : Saturday, January 9, 2021 - 3:09:09 AM

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  • HAL Id : hal-03101022, version 1
  • ARXIV : 2101.02450

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Matthieu Romagny. Fixed point stacks under groups of multiplicative type. 2021. ⟨hal-03101022⟩

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