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arXiv:1303.2561 [math.RT]AbstractReferencesReviewsResources

Localization of spherical varieties

Friedrich Knop

Published 2013-03-11, updated 2013-11-23Version 3

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.

Comments: v1: 25 pages; v2: 21 pages, reformatted to LaTeX, otherwise minor changes; v3: 22 pages, final version
Categories: math.RT, math.AG
Subjects: 14M27
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