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arXiv · 2205.13831

Reduction of Kummer surfaces modulo 2 in the non-supersingular case

Christopher Lazda·Alexei Skorobogatov
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Abstract

We obtain necessary and sufficient conditions for the good reduction of Kummer surfaces attached to abelian surfaces with non-supersingular reduction when the residue field is perfect of characteristic 2. In this case, good reduction with an algebraic space model is equivalent to good reduction with a scheme model, which we explicitly construct.

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Christopher Lazda, Alexei Skorobogatov. 2022-05-27. Reduction of Kummer surfaces modulo 2 in the non-supersingular case. https://doi.org/10.46298/epiga.2023.volume7.9657

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