Localization of spherical varieties

Knop, Friedrich

doi:10.2140/ant.2014.8.703

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Localization of spherical varieties

Friedrich Knop

Vol. 8 (2014), No. 3, 703–728

DOI: 10.2140/ant.2014.8.703

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

Vol. 8, No. 3, 2014