Root stack valuative criterion for good moduli spaces
Algebraic Geometry
2025-07-14 v1 Number Theory
Representation Theory
Abstract
We prove a root stack valuative criterion for good moduli space maps and for gerbes for reductive groups under some mild assumptions on the residue characteristic. We give several applications to parahoric extension for torsors, rational points on stacks, gerbes and homogeneous spaces, and the geometry of fibrations.
Keywords
Cite
@article{arxiv.2507.08642,
title = {Root stack valuative criterion for good moduli spaces},
author = {Dori Bejleri and Giovanni Inchiostro and Matthew Satriano},
journal= {arXiv preprint arXiv:2507.08642},
year = {2025}
}
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