Good moduli spaces for Artin stacks
Jarod Alper
TL;DR
This paper develops a new theory for constructing well-behaved moduli spaces for Artin stacks, extending classical invariant theory and tame stacks to a broader context.
Contribution
It introduces a generalized framework for associating good moduli spaces to arbitrary Artin stacks, broadening the scope of existing theories.
Findings
Established a new method for constructing moduli spaces for Artin stacks
Extended Mumford's geometric invariant theory to a more general setting
Provided conditions under which Artin stacks admit good moduli spaces
Abstract
We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford's geometric invariant theory and tame stacks.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry