Vol. 8, No. 3, 2014

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Localization of spherical varieties

Friedrich Knop

Vol. 8 (2014), No. 3, 703–728
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 them to analyze spherical roots, colors, and their interrelation. At the end, we propose a preliminary definition of a $p$-spherical system.

Keywords
spherical varieties
Mathematical Subject Classification 2010
Primary: 14M27
Secondary: 14L30, 20G15, 14M17, 20G05