Fixed point stacks under groups of multiplicative type
Algebraic Geometry
2021-01-08 v1
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.
Cite
@article{arxiv.2101.02450,
title = {Fixed point stacks under groups of multiplicative type},
author = {Matthieu Romagny},
journal= {arXiv preprint arXiv:2101.02450},
year = {2021}
}