Classification of smooth affine spherical varieties

Knop F, Van Steirteghem B (2006)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2006

Journal

Transformation Groups Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 11

Pages Range: 495-516

Journal Issue: 3

DOI: 10.1007/s00031-005-1116-3

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-x-fibrations.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie) Bart van Steirteghem

Involved external institutions

Instituto Superior Técnico PT Portugal (PT)

How to cite

APA:

Knop, F., & Van Steirteghem, B. (2006). Classification of smooth affine spherical varieties. Transformation Groups, 11(3), 495-516. https://doi.org/10.1007/s00031-005-1116-3

MLA:

Knop, Friedrich, and Bart Van Steirteghem. "Classification of smooth affine spherical varieties." Transformation Groups 11.3 (2006): 495-516.

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