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arXiv · 1512.02540

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

Wansu Kim·Keerthi Madapusi Pera
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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.

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Wansu Kim, Keerthi Madapusi Pera. 2015-12-08. 2-adic integral canonical models and the Tate conjecture in characteristic 2. https://arxiv.org/abs/1512.02540

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