Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds
Algebraic Geometry
2023-06-29 v2 Commutative Algebra
Abstract
In this paper, we prove that a weak form of the Akizuki-Nakano vanishing theorem holds on globally -split 3-folds. Making use of this vanishing theorem, we study deformations of globally -split Fano 3-folds and the Kodaira vanishing theorem for thickenings of locally complete intersection globally -regular 3-folds.
Keywords
Cite
@article{arxiv.1912.12074,
title = {Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds},
author = {Kenta Sato and Shunsuke Takagi},
journal= {arXiv preprint arXiv:1912.12074},
year = {2023}
}
Comments
29 pages; v2: minor changes