Classification of strict wonderful varieties
Algebraic Geometry
2009-10-08 v2 Representation Theory
Abstract
In the setting of strict wonderful varieties we answer positively to Luna's conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits or model spaces. To make the paper self-contained as much as possible, we shall gather some known results on these families and more generally on wonderful varieties.
Cite
@article{arxiv.0806.2263,
title = {Classification of strict wonderful varieties},
author = {Paolo Bravi and Stéphanie Cupit-Foutou},
journal= {arXiv preprint arXiv:0806.2263},
year = {2009}
}
Comments
39 pages; final version to appear in Annales Inst. Fourier