Equivariant degenerations of spherical modules for groups of type A
[Les dégénérescences équivariantes des modules sphériques de type A]
Papadakis, Stavros Argyrios ; Van Steirteghem, Bart
Annales de l'Institut Fourier, Tome 62 (2012), p. 1765-1809 / Harvested from Numdam
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V. Alexeev et M. Brion ont introduit, pour un groupe complexe réductif donné, un schéma de modules de variétés sphériques affines ayant le même semi-groupe moment. Nous donnons de nouveaux exemples de ce schéma de modules en montrant qu’il est un espace affine lorsque le groupe donné est de type A et le semi-groupe moment fixé est celui d’un module sphérique.

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.

Publié le : 2012-01-01
DOI : https://doi.org/10.5802/aif.2735
Classification:  14D22,  14C05,  14M27,  20G05
Mots clés: schéma de Hilbert invariant, module sphérique, variété sphérique, dégénérescence équivariante 
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     author = {Papadakis, Stavros Argyrios and Van Steirteghem, Bart},
     title = {Equivariant degenerations of spherical modules for groups of type $\mathsf {A}$},
     journal = {Annales de l'Institut Fourier},
     volume = {62},
     year = {2012},
     pages = {1765-1809},
     doi = {10.5802/aif.2735},
     zbl = {1267.14018},
     mrnumber = {3025153},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2012__62_5_1765_0}
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Papadakis, Stavros Argyrios; Van Steirteghem, Bart. Equivariant degenerations of spherical modules for groups of type $\mathsf {A}$. Annales de l'Institut Fourier, Tome 62 (2012) pp. 1765-1809. doi : 10.5802/aif.2735. http://gdmltest.u-ga.fr/item/AIF_2012__62_5_1765_0/

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