English

Localization of spherical varieties

Representation Theory 2014-12-30 v3 Algebraic Geometry

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.

Cite

@article{arxiv.1303.2561,
  title  = {Localization of spherical varieties},
  author = {Friedrich Knop},
  journal= {arXiv preprint arXiv:1303.2561},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T23:40:02.693Z