Families of wild 1-motives

2024/10/31 by Grzegorz Banaszak, Banaszak, Grzegorz, Dorota Blinkiewicz +1
Psychology · #Categorization, perception, and language

paper · pdf · doi:10.48550/arxiv.2410.23795

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 O_F,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.

Related

• Deligne 1-motives with torsion and étale motives
• Deligne's conjecture on extensions of 1-motives
• On the derived category of 1-motives, I
• The generalized Cassels-Tate dual exact sequence for 1-motives
• Deligne's duality for de Rham realizations of 1-motives