论文标题

kummer表面的减少在非苏格尔案中

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

论文作者

Lazda, Christopher, Skorobogatov, Alexei

论文摘要

我们获得了必要和充分的条件,以便在残留场是完美的特征2时,可以很好地降低与阿贝尔表面相连的Kummer表面,并具有非沉积物减少。在这种情况下,使用代数空间模型的良好降低相当于与方案模型的良好降低,我们明确地构建了这些方案模型。

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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