Triple Massey products for higher genus curves

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