The Tate Conjecture for Motivic Endomorphisms of K3 Surfaces over Finite Fields
Number Theory
2021-10-05 v1 Algebraic Geometry
Abstract
The Tate conjecture for squares of K3 surfaces over finite fields was recently proved by Ito-Ito-Koshikawa. We give a more geometric proof when the characteristic is at least 5. The main idea is to use twisted derived equivalences between K3 surfaces to link the Tate conjecture to finiteness results over finite fields, in the spirit of Tate.
Keywords
Cite
@article{arxiv.2110.01350,
title = {The Tate Conjecture for Motivic Endomorphisms of K3 Surfaces over Finite Fields},
author = {Ziquan Yang},
journal= {arXiv preprint arXiv:2110.01350},
year = {2021}
}