paper

A note on Tate's conjectures for abelian varieties

arXiv:2112.15164 · doi:10.2140/ent.2022.1.41

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.

Minor revisions, to appear in Essential Number Theory

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