Ordinary reduction of K3 surfaces
Algebraic Geometry
2009-02-16 v2 Number Theory
Abstract
Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension L/K such that X has ordinary reduction at every non-archimedean place of L outside a density zero set of places.
Keywords
Cite
@article{arxiv.0902.1548,
title = {Ordinary reduction of K3 surfaces},
author = {Fedor A. Bogomolov and Yuri G. Zarhin},
journal= {arXiv preprint arXiv:0902.1548},
year = {2009}
}
Comments
7 pages