A note on Tate's conjectures for abelian varieties
Number Theory
2022-10-26 v2 Algebraic Geometry
Abstract
In this mostly expository note, we explain a proof of Tate's two conjectures [Tat65] for algebraic cycles of arbitrary codimension on certain products of elliptic curves and abelian surfaces over number fields.
Cite
@article{arxiv.2112.15164,
title = {A note on Tate's conjectures for abelian varieties},
author = {Chao Li and Wei Zhang},
journal= {arXiv preprint arXiv:2112.15164},
year = {2022}
}
Comments
Minor revisions, to appear in Essential Number Theory