Vanishing Theorems on Toric Varieties, with Erratum to a Former Paper
Algebraic Geometry
2014-12-25 v2
Abstract
In this paper, we clarify the mistakes made in the former article entitled "Vanishing Theorems on Toric Varieties in Positive Characteristic". On the other hand, we use the positive characteristic method to reprove 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 over a field of arbitrary characteristic, where concerned Weil divisors are torus invariant.
Keywords
Cite
@article{arxiv.1401.3067,
title = {Vanishing Theorems on Toric Varieties, with Erratum to a Former Paper},
author = {Qihong Xie},
journal= {arXiv preprint arXiv:1401.3067},
year = {2014}
}
Comments
11 pages