2-adic integral canonical models and the Tate conjecture in characteristic 2

Abstract

We use E. Lau's classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial. We apply this to prove the Tate conjecture for K3 surfaces in characteristic 2.

References in corpus (1)

• Supersingular K3 surfaces for large primes

Cited by in corpus (6)

• Good Reduction of K3 Surfaces
• Height pairings on orthogonal Shimura varieties
• Automorphisms of minimal entropy on supersingular K3 surfaces
• A census of zeta functions of quartic K3 surfaces over F_2
• A note on the behaviour of the Tate conjecture under finitely generated field extensions
• Existence of supersingular reduction for families of K3 surfaces with large Picard number in positive characteristic