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

Published 8 Dec 2015 in math.NT and math.AG | (1512.02540v1)

Abstract: We use E. Lau's classification of 2-divisible groups using Dieudonn\'e 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.

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