Generic Vanishing Fails for Surfaces in Positive Characteristic
Algebraic Geometry
2023-09-20 v2
Abstract
We show that there exist smooth surfaces violating Generic Vanishing in any characteristic . As a corollary, we recover a result of Hacon and Kov\'acs, producing counterexamples to Generic Vanishing in dimension 3 and higher.
Cite
@article{arxiv.1608.07874,
title = {Generic Vanishing Fails for Surfaces in Positive Characteristic},
author = {Stefano Filipazzi},
journal= {arXiv preprint arXiv:1608.07874},
year = {2023}
}
Comments
12 pages, Bollettino dell'Unione Matematica Italiana (2017)