The Chow group mod $\ell$ for a product of elliptic curves

TL;DR

This paper proves that the Chow group modulo 5 of a product of three or more very general complex elliptic curves is infinite, extending previous work and providing new insights into algebraic cycles.

Contribution

It generalizes Schoen's work by establishing the infinitude of the Chow group mod 5 for products of three or more very general elliptic curves.

Findings

Chow group mod 5 is infinite for such products.

Extends previous results to more general cases.

Provides new methods for analyzing algebraic cycles.

Abstract

Generalizing work of Schoen, we prove that the Chow group modulo $\ell$ of a product of $3$ or more very general complex elliptic curves is infinite.