GIT and moduli with a twist

Abstract

We survey the role played by GIT in the study of moduli spaces, with an emphasis on the birational geometry of GIT quotients.

to appear in "Handbook of Moduli"

References in corpus (12)

• Moduli of varieties of general type
• Good moduli spaces for Artin stacks
• Logarithmic Geometry and Moduli
• Log minimal model program for the moduli space of stable curves: The first flip
• Alternate Compactifications of Moduli Spaces of Curves
• Finite Hilbert stability of (bi)canonical curves
• Singularities with G_m-action and the log minimal model program for ${\bar{M}}_g$
• A geometric invariant theory construction of moduli spaces of stable maps
• GIT Constructions of Log Canonical Models of M_g
• Towards Mori's program for the moduli space of stable maps
• Geometric Invariant Theory and Birational Geometry
• Birational Contractions of ${\bar{M}}_{3,1}$ and ${\bar{M}}_{4,1}$

Cited by in corpus (1)

• Log canonical models and variation of GIT for genus four canonical curves