English

The fullness conjectures for products of elliptic curves

Number Theory 2025-04-18 v4 Algebraic Geometry

Abstract

We prove all conjectures from chapter 7 of Yves Andr\'e's book on motives in the case of products of elliptic curves. The proofs given here are simpler and more uniform than the previous proofs in known cases.

Keywords

Cite

@article{arxiv.2303.06690,
  title  = {The fullness conjectures for products of elliptic curves},
  author = {Bruno Kahn and with an appendix by Cyril Demarche},
  journal= {arXiv preprint arXiv:2303.06690},
  year   = {2025}
}

Comments

To appear in Crelle