Classification of smooth affine spherical varieties
(joint work with Bart Van Steirteghem)
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.
Appeared in: Transformation Groups 11 (2006) 495-516
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Last updated: September 23, 2006