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arxiv: 1505.07446 · v2 · pith:MWMWZWS2new · submitted 2015-05-27 · 🧮 math.AG · math.RT

Equivariant degenerations of spherical modules: part II

classification 🧮 math.AG math.RT
keywords sphericalaffinemonoidtypeweightalexeev-brionarxivassumption
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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.

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