Localization of spherical varieties

Abstract

We prove some fundamental structural results for spherical varieties in arbitrary characteristic. In particular, we study Luna's two types of localization and use it to analyze spherical roots, colors and their interrelation. At the end, we propose a preliminary definition of a p-spherical system.

v1: 25 pages; v2: 21 pages, reformatted to LaTeX, otherwise minor changes; v3: 22 pages, final version

Cited by in corpus (3)

• Gorenstein spherical Fano varieties
• Strongly solvable spherical subgroups and their combinatorial invariants
• On extended weight monoids of spherical homogeneous spaces