A note on Kodaira vanishing on surfaces
Algebraic Geometry
2024-11-07 v1
Abstract
We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie characterizing the counterexamples of the Kodaira vanishing theorem in positive characteristic.
Cite
@article{arxiv.2411.03510,
title = {A note on Kodaira vanishing on surfaces},
author = {Cristian Martinez},
journal= {arXiv preprint arXiv:2411.03510},
year = {2024}
}
Comments
11 pages, comments welcome!