Families of wild 1-motives
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 OF,S, which have the same reductions to torsion 1-motives for all v 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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