On the Bogomolov-Gieseker inequality in positive characteristic
Algebraic Geometry
2020-08-31 v2
Abstract
We prove a version of the Bogomolov-Gieseker inequality on smooth projective surfaces of general type in positive characteristic, which is stronger than the result by Langer when the ranks of vector bundles are sufficiently large. Our inequality enables us to construct Bridgeland stability conditions with full support property on all smooth projective surfaces in positive characteristic.
Keywords
Cite
@article{arxiv.2008.09800,
title = {On the Bogomolov-Gieseker inequality in positive characteristic},
author = {Naoki Koseki},
journal= {arXiv preprint arXiv:2008.09800},
year = {2020}
}
Comments
18 pages, v2: assumption on the base field in Section 4 is removed