2-adic integral canonical models and the Tate conjecture in characteristic 2
Number Theory
2015-12-09 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1512.02540,
title = {2-adic integral canonical models and the Tate conjecture in characteristic 2},
author = {Wansu Kim and Keerthi Madapusi Pera},
journal= {arXiv preprint arXiv:1512.02540},
year = {2015}
}