Equivariant degenerations of spherical modules for groups of type A

Stavros Argyrios Papadakis[1]; Bart Van Steirteghem[2]

  • [1] Universidade Técnica de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos Departamento de Matemática Instituto Superior Técnico Av. Rovisco Pais 1049-001 Lisboa (Portugal)
  • [2] Medgar Evers College Department of Mathematics City University of New York 1650 Bedford Ave. Brooklyn, NY 11225 (USA)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 5, page 1765-1809
  • ISSN: 0373-0956

Abstract

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V. Alexeev and M. Brion introduced, for a given a complex reductive group, a moduli scheme of affine spherical varieties with prescribed weight monoid. We provide new examples of this moduli scheme by proving that it is an affine space when the given group is of type A and the prescribed weight monoid is that of a spherical module.

How to cite

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Papadakis, Stavros Argyrios, and Van Steirteghem, Bart. "Equivariant degenerations of spherical modules for groups of type $\mathsf {A}$." Annales de l’institut Fourier 62.5 (2012): 1765-1809. <http://eudml.org/doc/251050>.

@article{Papadakis2012,
abstract = {V. Alexeev and M. Brion introduced, for a given a complex reductive group, a moduli scheme of affine spherical varieties with prescribed weight monoid. We provide new examples of this moduli scheme by proving that it is an affine space when the given group is of type $\mathsf \{A\}$ and the prescribed weight monoid is that of a spherical module.},
affiliation = {Universidade Técnica de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos Departamento de Matemática Instituto Superior Técnico Av. Rovisco Pais 1049-001 Lisboa (Portugal); Medgar Evers College Department of Mathematics City University of New York 1650 Bedford Ave. Brooklyn, NY 11225 (USA)},
author = {Papadakis, Stavros Argyrios, Van Steirteghem, Bart},
journal = {Annales de l’institut Fourier},
keywords = {Invariant Hilbert scheme; spherical module; spherical variety; equivariant degeneration},
language = {eng},
number = {5},
pages = {1765-1809},
publisher = {Association des Annales de l’institut Fourier},
title = {Equivariant degenerations of spherical modules for groups of type $\mathsf \{A\}$},
url = {http://eudml.org/doc/251050},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Papadakis, Stavros Argyrios
AU - Van Steirteghem, Bart
TI - Equivariant degenerations of spherical modules for groups of type $\mathsf {A}$
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 5
SP - 1765
EP - 1809
AB - V. Alexeev and M. Brion introduced, for a given a complex reductive group, a moduli scheme of affine spherical varieties with prescribed weight monoid. We provide new examples of this moduli scheme by proving that it is an affine space when the given group is of type $\mathsf {A}$ and the prescribed weight monoid is that of a spherical module.
LA - eng
KW - Invariant Hilbert scheme; spherical module; spherical variety; equivariant degeneration
UR - http://eudml.org/doc/251050
ER -

References

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