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
Milestones
Received: 31 May 2013
Revised: 25 October 2013
Accepted: 22 November 2013
Published: 31 May 2014
Authors
Friedrich Knop
Department Mathematik
Emmy-Noether-Zentrum
Friedrich-Alexander-Universität Erlangen-Nürnberg
Cauerstrasse 11
91058 Erlangen
Germany