Ordinary reduction of K3 surfaces
classification
🧮 math.AG
math.NT
keywords
fieldordinaryreductionalgebraicdensityeveryexistsextension
read the original 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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