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Algebraicity and smoothness of fixed point stacks

Abstract : We study algebraicity and smoothness of fixed point stacks for flat group schemes which have a finite composition series whose factors are either reductive or proper, flat, finitely presented, acting on algebraic stacks with affine, finitely presented diagonal. For this, we extend some theorems of [SGA3.2] on functors of homomorphisms Hom(G, H) and functors of reductive subgroups Sub(H) for an affine, possibly non-flat group scheme H.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03675148
Contributor : Matthieu Romagny Connect in order to contact the contributor
Submitted on : Sunday, May 22, 2022 - 10:35:58 PM
Last modification on : Wednesday, June 15, 2022 - 9:56:59 AM

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  • HAL Id : hal-03675148, version 1
  • ARXIV : 2205.11114

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Matthieu Romagny. Algebraicity and smoothness of fixed point stacks. 2022. ⟨hal-03675148v1⟩

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