Classification of smooth affine spherical varieties

Details Classification of smooth affine spherical varieties Classification of smooth affine spherical varieties

2005-05-06

arxiv.org/abs/math/0505102v2

Transform. Groups 11 (2006) 495-516

Mathematics

Algebraic Geometry

v1: 23 pages, uses texdraw; v2: 25 pages, introduction updated, Lemma 7.2 fixed, references added, typos corrected

Scientific paper

10.1007/s00031-005-1116-3

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.

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