Vanishing Theorems on Toric Varieties in Positive Characteristic
Algebraic Geometry
2013-04-30 v4
Abstract
We use the liftability of the relative Frobenius morphism of toric varieties and the strong liftability of toric varieties to prove the Bott vanishing theorem, the degeneration of the Hodge to de Rham spectral sequence and the Kawamata-Viehweg vanishing theorem for log pairs on toric varieties in positive characteristic. These results generalize those results of Danilov, Buch-Thomsen-Lauritzen-Mehta, Mustata and Fujino to the case where concerned Weil divisors are not necessarily torus invariant.
Cite
@article{arxiv.1010.5580,
title = {Vanishing Theorems on Toric Varieties in Positive Characteristic},
author = {Qihong Xie},
journal= {arXiv preprint arXiv:1010.5580},
year = {2013}
}
Comments
13 pages