Spherical varieties with the $A_k$-property
Algebraic Geometry
2017-11-13 v4
Abstract
An algebraic variety is said to have the -property if any points are contained in some common affine open neighbourhood. A theorem of W{\l}odarczyk states that a normal variety has the -property if and only if it admits a closed embedding into a toric variety. Spherical varieties can be regarded as a generalization of toric varieties, but they do not have the -property in general. We provide a combinatorial criterion for the -property of spherical varieties by combining the theory of bunched rings with the Luna-Vust theory of spherical embeddings.
Cite
@article{arxiv.1303.5611,
title = {Spherical varieties with the $A_k$-property},
author = {Giuliano Gagliardi},
journal= {arXiv preprint arXiv:1303.5611},
year = {2017}
}
Comments
17 pages