A note on group actions on algebraic stacks

2003/05/16 by Matthieu Romagny, Romagny, Matthieu
Mathematics · #14A20 #14L30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14A20 #msc:14L30

paper · pdf · doi:10.48550/arxiv.math/0305243

11 pages, uses xy-pic diagram package

arxiv created 2003/05/16 · openalex publication_date 2003/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give the basic definitions of group actions on (algebraic) stacks, and prove the existence of fixed points and quotients as (algebraic) stacks.

Related

• Fixed point stacks under groups of multiplicative type
• Group actions on algebraic stacks via butterflies
• Algebraicity and smoothness of fixed point stacks
• Fundamental Groups of Algebraic Stacks
• Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)