Ordinary reduction of K3 surfaces

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Authors
Bogomolov, Fedor A.
Zarhin, Yuri G.
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Abstract
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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.
Comment: 7 pages
Keywords
Mathematics - Algebraic Geometry, Mathematics - Number Theory, 14G25, 14J28, 11G25, 11G35
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