Spherical roots of spherical varieties
Representation Theory
2015-01-16 v3 Algebraic Geometry
Abstract
Brion proved that the valuation cone of a complex spherical variety is a fundamental domain for a finite reflection group, called the little Weyl group. The principal goal of this paper is to generalize this fundamental theorem to fields of characteristic unequal to 2. We also prove a weaker version which holds in characteristic 2, as well. Our main tool is a generalization of Akhiezer's classification of spherical rank-1-varieties.
Cite
@article{arxiv.1303.2466,
title = {Spherical roots of spherical varieties},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:1303.2466},
year = {2015}
}
Comments
v1; 19 pages; v2: 19 pages, reformatted to LaTeX, slightly expanded, a couple of minor errors corrected; v3: 19 pages, minor modifications, final version