Equivariant degenerations of spherical modules: part II

Abstract

We determine, under a certain assumption, the Alexeev-Brion moduli scheme M_S of affine spherical G-varieties with a prescribed weight monoid S. In [ arXiv:1008.0911 ] we showed that if G is a connected complex reductive group of type A and S is the weight monoid of a spherical G-module, then M_S is an affine space. Here we prove that this remains true without any restriction on the type of G.

v1: 37 pages. v2: 43 pages, implemented changes requested by referee, a version without the appendix will appear in Algebras and Representation Theory

References in corpus (2)

• The moduli scheme of affine spherical varieties with a free weight monoid
• On the irreducible components of moduli schemes for affine spherical varieties

Cited by in corpus (1)

• The moduli scheme of affine spherical varieties with a free weight monoid