Invariant Hilbert schemes

Abstract

This is a survey article on moduli of affine schemes equipped with an action of a reductive group. The emphasis is on examples and applications to the classification of spherical varieties.

v2, minor changes and corrections. To appear in Handbook of Moduli

References in corpus (5)

• Non-connected toric Hilbert schemes
• Wonderful Varieties: A geometrical realization
• Classification of smooth affine spherical varieties
• A symplectic resolution for the binary tetrahedral group
• Non-coherent Components of the Toric Hilbert Scheme

Cited by in corpus (9)

• Unifying and generalizing known lower bounds via geometric complexity theory
• New and old results on spherical varieties via moduli theory
• Invariant Hilbert schemes and desingularizations of symplectic reductions for classical groups
• On the irreducible components of moduli schemes for affine spherical varieties
• Schémas de Hilbert invariants et théorie classique des invariants
• Moduli spaces of (G,h)-constellations
• Existence of equivariant models of spherical varieties and other G-varieties
• Invariant Hilbert Schemes and Luna's Etale Slice Theorem
• The moduli stack of affine stable toric varieties