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Equivariant Degenerations of Spherical Modules: Part II

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece

    Stavros Argyrios Papadakis

  2. Department of Mathematics, Medgar Evers College - City University of New York, 1650 Bedford Ave., Brooklyn, NY, 11225, USA

    Bart Van Steirteghem

Authors
  1. Stavros Argyrios Papadakis
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  2. Bart Van Steirteghem
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Correspondence to Bart Van Steirteghem.

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Presented by Michel Brion.

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Papadakis, S.A., Van Steirteghem, B. Equivariant Degenerations of Spherical Modules: Part II. Algebr Represent Theor 19, 1135–1171 (2016). https://doi.org/10.1007/s10468-016-9614-7

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  • DOI: https://doi.org/10.1007/s10468-016-9614-7

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