On the classification of normal G-varieties with spherical orbits

Abstract

In this article, we investigate the geometry of reductive group actions on algebraic varieties. Given a connected reductive group $G$, we elaborate on a geometric and combinatorial approach based on Luna-Vust theory to describe every normal $G$-variety with spherical orbits. This description encompasses the classical case of spherical varieties and the theory of $\mathbb{T}$-varieties recently introduced by Altmann, Hausen, and Süss.

Special thanks to the referee. Annales de la Faculte des Sciences de Toulouse 29 (2020) no. 2, 271-334

References in corpus (2)

• On the geometry of normal horospherical G-varieties of complexity one
• Stringy invariants for horospherical varieties of complexity one