Generic ordinarity for semi-stable fibration
Algebraic Geometry
2008-05-27 v1 Number Theory
Abstract
In this paper, we proved that, for a semi-stable fibration of a proper smooth surface to a proper smooth curve over a field of positive characteristic, if the generic fiber is ordinary, then the semi-positivity theorem holds. As an application, we constrcuted a counterexample to Parshin's conjecture on the Miyaoka-Yau inequality.
Cite
@article{arxiv.0805.3982,
title = {Generic ordinarity for semi-stable fibration},
author = {Junmyeong Jang},
journal= {arXiv preprint arXiv:0805.3982},
year = {2008}
}
Comments
12 pages