Generic ordinarity for semi-stable fibration

Details Generic ordinarity for semi-stable fibration Generic ordinarity for semi-stable fibration

2008-05-26

arxiv.org/abs/0805.3982v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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.

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