Toric degenerations of spherical varieties

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dc.creatorAlexeev, Valery
dc.creatorBrion, Michel
dc.date2004-03-23
dc.date.accessioned2026-07-07T05:06:39Z
dc.date.available2026-07-07T05:06:39Z
dc.descriptionWe prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symmetry, we give conditions for the limit toric variety to be a Gorenstein Fano, and provide many examples. We also provide an explanation for the limits as boundary points of the moduli space of stable pairs whose existence is predicted by the Minimal Model Program.
dc.description22 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0403379
dc.identifierhttp://arxiv.org/abs/math/0403379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70554
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M17, 14M25, 20G20, 52B20
dc.titleToric degenerations of spherical varieties
dc.typetext

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