A Vanishing Result for Toric Varieties Associated with Root Systems
Representation Theory
2007-11-01 v1 Algebraic Geometry
Abstract
Consider a root system and the corresponding toric variety whose fan is the Weyl fan and whose lattice of characters is given by the root lattice for . We prove the vanishing of the higher cohomology groups for certain line bundles on by proving a purely combinatorial result for root systems. These results are related to a converse to Mazur's Inequality for (simply-connected) split reductive groups.
Keywords
Cite
@article{arxiv.0710.5751,
title = {A Vanishing Result for Toric Varieties Associated with Root Systems},
author = {Qëndrim R. Gashi},
journal= {arXiv preprint arXiv:0710.5751},
year = {2007}
}