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.

31 pages, comments welcome!

References in corpus (1)

• Degeneration of Kummer surfaces

Cited by in corpus (2)

• Explicit desingularisation of Kummer surfaces in characteristic two via specialisation
• Reduction modulo $p$ of the Noether problem