Classification of smooth affine spherical varieties
Algebraic Geometry
2007-05-23 v2 Representation Theory
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/0505102,
title = {Classification of smooth affine spherical varieties},
author = {Friedrich Knop and Bart Van Steirteghem},
journal= {arXiv preprint arXiv:math/0505102},
year = {2007}
}
Comments
v1: 23 pages, uses texdraw; v2: 25 pages, introduction updated, Lemma 7.2 fixed, references added, typos corrected