Local properties of good moduli spaces

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dc.contributor.authorJarod Alper
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T15:09:15Z
dc.date.available2026-03-22T15:09:15Z
dc.date.issued2012
dc.descriptionCitaciones: 5
dc.description.abstractWe study the local properties of Artin stacks and their good moduli spaces, if they exist. We show that near closed points with linearly reductive stabilizer, Artin stacks formally locally admit good moduli spaces. In particular, the geometric invariant theory is developed for actions of linearly reductive group schemes on formal affine schemes. We also give conditions for when the existence of good moduli spaces can be deduced from the existence of étale charts admitting good moduli spaces.
dc.identifier.doi10.2748/tmj/1332767342
dc.identifier.urihttps://doi.org/10.2748/tmj/1332767342
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/50696
dc.language.isoen
dc.publisherTohoku University
dc.relation.ispartofTohoku Mathematical Journal
dc.sourceUniversidad de Los Andes
dc.subjectMathematics
dc.subjectModuli space
dc.subjectModuli
dc.subjectPure mathematics
dc.subjectAffine transformation
dc.subjectGeometric invariant theory
dc.subjectModuli of algebraic curves
dc.subjectReductive group
dc.subjectInvariant (physics)
dc.subjectModular equation
dc.titleLocal properties of good moduli spaces
dc.typearticle

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