Height pairings of 1-motives

  • Carolina Rivera Arredondo

    Università degli Studi di Padova, Italy
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The purpose of this work is to generalize, in the context of 1-motives, the -adic height pairings constructed by B. Mazur and J. Tate on abelian varieties. Following their approach, we define a global pairing between the rational points of a 1-motive and its dual. We also provide a local pairing between disjoint zero-cycles of degree zero on a curve, which is done by considering the Picard and Albanese 1-motives associated to the curve.

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Carolina Rivera Arredondo, Height pairings of 1-motives. Rend. Sem. Mat. Univ. Padova 149 (2023), pp. 151–181

DOI 10.4171/RSMUP/116