Triple Massey products for higher genus curves

Frauke M. Bleher; Ted Chinburg; Jean Gillibert

Triple Massey products for higher genus curves

Algebraic Geometry 2025-06-12 v1 Number Theory

Authors: Frauke M. Bleher , Ted Chinburg , Jean Gillibert

Abstract

We study the vanishing of triple Massey products for absolutely irreducible smooth projective curves over a number field. For each genus $g > 1$ and each prime $\ell > 3$ , we construct examples of hyperelliptic curves of genus $g$ for which there are non-empty triple Massey products with coefficients in $\mathbb{Z}/\ell$ that do not contain $0$ .

Keywords

triple Massey products smooth projective curves number field hyperelliptic curves genus absolute irreducibility vanishing conditions étale cohomology

Cite

@article{arxiv.2506.09837,
  title  = {Triple Massey products for higher genus curves},
  author = {Frauke M. Bleher and Ted Chinburg and Jean Gillibert},
  journal= {arXiv preprint arXiv:2506.09837},
  year   = {2025}
}

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23 pages, 1 figure

Triple Massey products for higher genus curves

Abstract

Keywords

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