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arXiv · 1610.02837

On the classification of normal G-varieties with spherical orbits

Kevin Langlois
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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 S\"uss.

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Kevin Langlois. 2016-10-10. On the classification of normal G-varieties with spherical orbits. https://arxiv.org/abs/1610.02837

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