Families of wild 1-motives

Grzegorz Banaszak; Dorota Blinkiewicz

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arXiv · 2410.23795

Families of wild 1-motives

Grzegorz Banaszak·Dorota Blinkiewicz

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Abstract

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.

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Grzegorz Banaszak, Dorota Blinkiewicz. 2024-10-31. Families of wild 1-motives. https://arxiv.org/abs/2410.23795

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