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arXiv · 2006.10362

Height pairings of 1-motives

Carolina Rivera Arredondo
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Abstract

The purpose of this work is to generalize, in the context of 1-motives, the $p$-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 local pairings between zero-cycles and divisors on a curve, which is done by considering its Picard and Albanese 1-motives.

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Carolina Rivera Arredondo. 2020-06-18. Height pairings of 1-motives. https://arxiv.org/abs/2006.10362

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