Triple Massey products for higher genus curves
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918055181811712 |
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| author | Bleher, Frauke M. Chinburg, Ted Gillibert, Jean |
| author_facet | Bleher, Frauke M. Chinburg, Ted Gillibert, Jean |
| contents | 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 $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triple Massey products for higher genus curves Bleher, Frauke M. Chinburg, Ted Gillibert, Jean Algebraic Geometry Number Theory 14F20 (Primary) 55S30, 57K20 (Secondary) 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 $0$. |
| title | Triple Massey products for higher genus curves |
| topic | Algebraic Geometry Number Theory 14F20 (Primary) 55S30, 57K20 (Secondary) |
| url | https://arxiv.org/abs/2506.09837 |