Divisorial Cohomology Vanishing on Toric Varieties
Algebraic Geometry
2012-01-30 v2 Combinatorics
Abstract
This work discusses combinatorial and arithmetic aspects of cohomology vanishing for divisorial sheaves on toric varieties. We obtain a refined variant of the Kawamata-Viehweg theorem which is slightly stronger. Moreover, we prove a new vanishing theorem related to divisors whose inverse is nef and has small Kodaira dimension. Finally, we give a new criterion for divisorial sheaves for being maximal Cohen-Macaulay.
Keywords
Cite
@article{arxiv.0711.4836,
title = {Divisorial Cohomology Vanishing on Toric Varieties},
author = {Markus Perling},
journal= {arXiv preprint arXiv:0711.4836},
year = {2012}
}
Comments
35 pages, 4 figures, requires packages ams*, enumerate, graphicx, xy, rewritten version