Algebras and Representation Theory

, Volume 19, Issue 5, pp 1135–1171 | Cite as

Equivariant Degenerations of Spherical Modules: Part II

  • Stavros Argyrios Papadakis
  • Bart Van SteirteghemEmail author


We determine, under a certain assumption, the Alexeev–Brion moduli scheme M of affine spherical G-varieties with a prescribed weight monoid . In Papadakis and Van Steirteghem (Ann. Inst. Fourier (Grenoble). 62(5) 1765–1809 19) we showed that if G is a connected complex reductive group of type A and is the weight monoid of a spherical G-module, then M is an affine space. Here we prove that this remains true without any restriction on the type of G.


Invariant Hilbert scheme Spherical module Spherical variety Equivariant degeneration 

Mathematics Subject Classification (2010)

14M27 14D22 14C05 20G05 


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Authors and Affiliations

  • Stavros Argyrios Papadakis
    • 1
  • Bart Van Steirteghem
    • 2
    Email author
  1. 1.Department of MathematicsUniversity of IoanninaIoanninaGreece
  2. 2.Department of MathematicsMedgar Evers College - City University of New YorkBrooklynUSA

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