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arXiv · 1107.1221

Finiteness of K3 surfaces and the Tate conjecture

Max Lieblich·Davesh Maulik·Andrew Snowden
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Abstract

Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely many K3 surfaces over each finite extension of k.

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Max Lieblich, Davesh Maulik, Andrew Snowden. 2011-07-06. Finiteness of K3 surfaces and the Tate conjecture. https://arxiv.org/abs/1107.1221

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