Homogeneous toric varieties
Algebraic Geometry
2010-03-30 v2 Representation Theory
Abstract
A description of transitive actions of a semisimple algebraic group G on toric varieties is obtained. Every toric variety admitting such an action lies between a product of punctured affine spaces and a product of projective spaces. The result is based on the Cox realization of a toric variety as a quotient space of an open subset of a vector space V by a quasitorus action and on investigation of the G-module structure of V.
Cite
@article{arxiv.0908.1851,
title = {Homogeneous toric varieties},
author = {Ivan V. Arzhantsev and Sergey A. Gaifullin},
journal= {arXiv preprint arXiv:0908.1851},
year = {2010}
}
Comments
9 pages