Semi-stable fibration of generic p-rank 0
Algebraic Geometry
2008-05-27 v1
Abstract
In this paper, we proved that, for a semi-stable fibration of a proper smooth surface to a proper smooth curve over a filed of positive characteristic, if the p-rank of the generic fiber is 0, then the base change of the fibration by a sufficiently many iterative Frobenius morphism of the base curve violates the semi-positivity theorem. As an application, we suggest a statement on a distribution of p-ranks of reductions for a certain non-closed point in the moduli space over a number field.
Keywords
Cite
@article{arxiv.0805.3997,
title = {Semi-stable fibration of generic p-rank 0},
author = {Junmyeong Jang},
journal= {arXiv preprint arXiv:0805.3997},
year = {2008}
}
Comments
8 pages