Classification of smooth affine spherical varieties

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dc.creatorKnop, Friedrich
dc.creatorVan Steirteghem, Bart
dc.date2005-05-06
dc.date2005-08-04
dc.date.accessioned2026-07-07T06:33:24Z
dc.date.available2026-07-07T06:33:24Z
dc.descriptionLet G be a complex reductive group. A normal G-variety X is called spherical if a Borel subgroup of G has a dense orbit in X. Of particular interest are spherical varieties which are smooth and affine since they form local models for multiplicity free Hamiltonian K-manifolds, K a maximal compact subgroup of G. In this paper, we classify all smooth affine spherical varieties up to coverings, central tori, and C*-fibrations.
dc.descriptionv1: 23 pages, uses texdraw; v2: 25 pages, introduction updated, Lemma 7.2 fixed, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/math/0505102
dc.identifierhttp://arxiv.org/abs/math/0505102
dc.identifierTransform. Groups 11 (2006) 495-516
dc.identifierdoi:10.1007/s00031-005-1116-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99183
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.subject14L30
dc.titleClassification of smooth affine spherical varieties
dc.typetext

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