Families of wild 1-motives
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913568939573248 |
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| author | Banaszak, Grzegorz Blinkiewicz, Dorota |
| author_facet | Banaszak, Grzegorz Blinkiewicz, Dorota |
| contents | In this paper we present families of wild 1-motives, i.e., families of pairwise non-isomorphic Deligne 1-motives, over rings of $S$-integers $\mathcal{O}_{F,S}$, which have the same reductions to torsion 1-motives for all $v\notin S$. Our proof is based on a technical result concerning a local to global principle for multiple base discrete logarithm problem for arbitrary big bases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Families of wild 1-motives Banaszak, Grzegorz Blinkiewicz, Dorota Number Theory 11Rxx, 14L15 In this paper we present families of wild 1-motives, i.e., families of pairwise non-isomorphic Deligne 1-motives, over rings of $S$-integers $\mathcal{O}_{F,S}$, which have the same reductions to torsion 1-motives for all $v\notin S$. Our proof is based on a technical result concerning a local to global principle for multiple base discrete logarithm problem for arbitrary big bases. |
| title | Families of wild 1-motives |
| topic | Number Theory 11Rxx, 14L15 |
| url | https://arxiv.org/abs/2410.23795 |