Generic ordinarity for semi-stable fibration
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2008
- DOI:
- 10.48550/arXiv.0805.3982
- arXiv:
- arXiv:0805.3982
- Bibcode:
- 2008arXiv0805.3982J
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 11G25;
- 14J20
- E-Print:
- 12 pages