Height pairings of 1-motives

Autor: Arredondo, Carolina Rivera
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 23 pages; author's email and affiliation added; bibliography order fixed
Databáze: arXiv