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arXiv · 0902.1548

Ordinary reduction of K3 surfaces

Fedor A. Bogomolov·Yuri G. Zarhin
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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.

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Fedor A. Bogomolov, Yuri G. Zarhin. 2009-02-16. Ordinary reduction of K3 surfaces. https://arxiv.org/abs/0902.1548

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