Triple Massey products for higher genus curves

2025/06/11 by Frauke M. Bleher, Ted Chinburg, Bleher, Frauke M. +3
Mathematics · #14F20 (Primary) 55S30 #57K20 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2506.09837

openalex publication_date 2025/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℓ > 3, we construct examples of hyperelliptic curves of genus g for which there are non-empty triple Massey products with coefficients in ℤ/ℓ that do not contain 0.

Citations

• Triple Massey products and absolute Galois groups
• Triple Massey products over global fields
• Splitting Varieties for Triple Massey Products

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