Bott Vanishing via Hodge Theory
Algebraic Geometry
2023-10-27 v1
Abstract
In this paper, we revise the Bott Vanishing on projective toric varieties by giving it an alternative proof with a condition that is compatible with the condition of Kawamata-Viehweg Vanishing. This proof can also be adapted to generalize Bott Vanishing to the setting using mixed Hodge modules. Lastly, we give a counter-example towards the relative Bott Vanishing for birational morphisms.
Keywords
Cite
@article{arxiv.2310.17380,
title = {Bott Vanishing via Hodge Theory},
author = {Chuanhao Wei},
journal= {arXiv preprint arXiv:2310.17380},
year = {2023}
}
Comments
8 pages; suggestions are welcome