On the classification of normal G-varieties with spherical orbits
Algebraic Geometry
2020-08-31 v4 Representation Theory
Abstract
In this article, we investigate the geometry of reductive group actions on algebraic varieties. Given a connected reductive group , we elaborate on a geometric and combinatorial approach based on Luna-Vust theory to describe every normal -variety with spherical orbits. This description encompasses the classical case of spherical varieties and the theory of -varieties recently introduced by Altmann, Hausen, and S\"uss.
Cite
@article{arxiv.1610.02837,
title = {On the classification of normal G-varieties with spherical orbits},
author = {Kevin Langlois},
journal= {arXiv preprint arXiv:1610.02837},
year = {2020}
}
Comments
Special thanks to the referee. Annales de la Faculte des Sciences de Toulouse 29 (2020) no. 2, 271-334