Reduction of Kummer surfaces modulo 2 in the non-supersingular case
Christopher Lazda, Alexei Skorobogatov
公開日: 2022/5/27
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.