On the classification of normal G-varieties with spherical orbits

2016/10/10 by Kevin Langlois, Langlois, Kevin · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1610.02837

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 \mathbbT-varieties recently introduced by Altmann, Hausen, and Süss.

Citations

• On the Geometry of Normal Horospherical G-Varieties of Complexity One
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Cited by

• Equivariant automorphism group and real forms of complexity-one varieties

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