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arXiv:math/0505102 [math.AG]AbstractReferencesReviewsResources

Classification of smooth affine spherical varieties

Friedrich Knop, Bart Van Steirteghem

Published 2005-05-06, updated 2005-08-04Version 2

Let 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.

Comments: v1: 23 pages, uses texdraw; v2: 25 pages, introduction updated, Lemma 7.2 fixed, references added, typos corrected
Journal: Transform. Groups 11 (2006) 495-516
Categories: math.AG, math.RT, math.SG
Subjects: 14L30
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