English

Massey products and elliptic curves

Algebraic Geometry 2023-09-27 v4 Number Theory

Abstract

We study the vanishing of Massey products of order at least 33 for absolutely irreducible smooth projective curves over a perfect field with coefficients in Z/\mathbb{Z}/\ell. We mainly focus on elliptic curves, for which we obtain a complete characterization of when triple Massey products do not vanish.

Keywords

Cite

@article{arxiv.2205.13825,
  title  = {Massey products and elliptic curves},
  author = {Frauke M. Bleher and Ted Chinburg and Jean Gillibert},
  journal= {arXiv preprint arXiv:2205.13825},
  year   = {2023}
}

Comments

25 pages. In the fourth version, we removed the assumption that F is a perfect field and we added a new Theorem 1.2. Moreover, we changed Example 6.1 and added Examples 7.6 and 7.8