Good moduli spaces for Artin stacks

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.

43 pages; improved exposition, minor corrections

References in corpus (1)

• A geometric invariant theory construction of moduli spaces of stable maps

Cited by in corpus (9)

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• Grothendieck Duality for Deligne-Mumford Stacks
• Alternate Compactifications of Moduli Spaces of Curves
• On some moduli of complexes on K3 surfaces
• Partial desingularizations of good moduli spaces of Artin toric stacks
• Compactified Picard stacks over ${\bar{\mathcal{M}}}_g$
• Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients
• Stable points on algebraic stacks
• Invariant rings through categories