On a smoothness characterization for good moduli spaces

2019/05/13 by Dan Edidin, Matthew Satriano, Edidin, Dan +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometry and complex manifolds #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1905.04845

openalex publication_date 2019/05/13 · openalex created_date 2024/02/18 · openalex updated_date 2026/07/28

Abstract

Let X be a smooth Artin stack with properly stable good moduli space π\colonX → X. The purpose of this paper is to prove that a simple geometric criterion can often characterize when the moduli space X is smooth and the morphism π is flat.

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