@article{58c3b6bb72c64775a1335e3e573aa30c,
title = "Ordinary reduction of K3 surfaces",
abstract = "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.",
keywords = "K3 surfaces, Newton polygons, Ordinary reduction, ℓ-adic representations",
author = "Bogomolov, {Fedor A.} and Zarhin, {Yuri G.}",
note = "Funding Information: The first named author (F.B.) would like to thank the Clay Institute for financial support and Centre Di Giorgi in Pisa for its hospitality during the work on this paper. He was also partially supported by NSF grant DMS-0701578. The second named author (Y.Z.) would like to thank Courant Institute of Mathematical Sciences for its hospitality during his several short visits in the years 2006–2009. We are both grateful to Nick Katz for his interest in this paper and stimulating comments.",
year = "2009",
doi = "10.2478/s11533-009-0013-8",
language = "English (US)",
volume = "7",
pages = "206--213",
journal = "Central European Journal of Mathematics",
issn = "1895-1074",
publisher = "Versita",
number = "2",
}