Algebraicity and smoothness of fixed point stacks
Algebraic Geometry
2022-09-19 v3
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.
Keywords
Cite
@article{arxiv.2205.11114,
title = {Algebraicity and smoothness of fixed point stacks},
author = {Matthieu Romagny},
journal= {arXiv preprint arXiv:2205.11114},
year = {2022}
}
Comments
Added ''main ideas of the proofs'' in the introduction and corrected typos