Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.
@article{bwmeta1.element.doi-10_2478_s11533-009-0013-8,
author = {Fedor Bogomolov and Yuri Zarhin},
title = {Ordinary reduction of K3 surfaces},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {206-213},
zbl = {1178.14039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0013-8}
}
Fedor Bogomolov; Yuri Zarhin. Ordinary reduction of K3 surfaces. Open Mathematics, Tome 7 (2009) pp. 206-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0013-8/
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