The Chow group mod ℓ for a product of elliptic curves

2017/07/01 by Humberto A. Diaz, Diaz, Humberto A.
Mathematics · #14C15 #14C25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1707.00220

openalex publication_date 2017/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Introduction To Arithmetic Groups

Related

• On Mildenhall's Theorem
• Complex varieties with infinite Chow groups modulo 2
• A Hasse principle for GL₂(\mathbbF_p) and Bloch's exact sequence for elliptic curves over number fields
• Equivariant Chow-Witt groups and moduli stacks of elliptic curves
• The integral Chow ring of M_1,3