English

Equivariant degenerations of spherical modules: part II

Algebraic Geometry 2016-04-27 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.1505.07446,
  title  = {Equivariant degenerations of spherical modules: part II},
  author = {Stavros Argyrios Papadakis and Bart Van Steirteghem},
  journal= {arXiv preprint arXiv:1505.07446},
  year   = {2016}
}

Comments

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