A note on group actions on algebraic stacks
Matthieu Romagny
TL;DR
This paper introduces the fundamental concepts of group actions on algebraic stacks and establishes the existence of fixed points and quotients within this framework.
Contribution
It provides the first formal definitions and existence results for fixed points and quotients of group actions on algebraic stacks.
Findings
Defined group actions on algebraic stacks
Proved existence of fixed points as algebraic stacks
Proved existence of quotients as algebraic stacks
Abstract
We give the basic definitions of group actions on (algebraic) stacks, and prove the existence of fixed points and quotients as (algebraic) stacks.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology