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• W1990943474 abstract "We introduce a notion of stable spherical variety which includes the spherical varieties under a reductive group G and their flat equivariant degenerations. Given any projective space ℙ where G acts linearly, we construct a moduli space for stable spherical varieties over ℙ, that is, pairs (X,f), where X is a stable spherical variety and f:X → ℙ is a finite equivariant morphism. This space is projective, and its irreducible components are rational. It generalizes the moduli space of pairs (X,D), where X is a stable toric variety and D is an effective ample Cartier divisor on X which contains no orbit. The equivariant automorphism group of ℙ acts on our moduli space; the spherical varieties over ℙ and their stable limits form only finitely many orbits. A variant of this moduli space gives another view to the compactifications of quotients of thin Schubert cells constructed by Kapranov and Lafforgue." @default.
• W1990943474 created "2016-06-24" @default.
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• W1990943474 creator A5080565699 @default.
• W1990943474 date "2010-07-08" @default.
• W1990943474 modified "2023-09-27" @default.
• W1990943474 title "Stable spherical varieties and their moduli" @default.
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• W1990943474 doi "https://doi.org/10.1155/imrp/2006/46293" @default.
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