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

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.

Keywords

• mathematics - number theory
• mathematics - algebraic geometry
• 11g25 (primary) 11g10, 14g15, 14g20 (secondary)