Normality and quadraticity for special ample line bundles on toric varieties arising from root systems
Algebraic Geometry
2011-02-22 v1 Combinatorics
Representation Theory
Abstract
We prove that special ample line bundles on toric varieties arising from root systems are projectively normal. Here the maximal cones of the fans correspond to the Weyl chambers, and special means that the bundle is torus-equivariant such that the character of the line bundle that corresponds to a maximal Weyl chamber is dominant with respect to that chamber. Moreover, we prove that the associated semigroup rings are quadratic.
Cite
@article{arxiv.1102.4083,
title = {Normality and quadraticity for special ample line bundles on toric varieties arising from root systems},
author = {Qëndrim R. Gashi and Travis Schedler},
journal= {arXiv preprint arXiv:1102.4083},
year = {2011}
}
Comments
18 pages