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arXiv · 1001.2929

Invariants de Hasse-Witt des réductions de certaines variétés symplectiques irréductibles

Stéphane Druel
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Abstract

Let X be an irreducible symplectic variety defined over a number field K. Assume either that X has Picard number at least two or that X has even second Betti number. We prove that there exist a finite algebraic field extension L/K and a density 1 set S of non-archimedean places of L such that the reduction of X at any place in S has nonzero Hasse-Witt invariant.

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Stéphane Druel. 2010-01-21. Invariants de Hasse-Witt des réductions de certaines variétés symplectiques irréductibles. https://arxiv.org/abs/1001.2929

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