Height pairings of 1-motives
Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 151-181.
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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 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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DOI : 10.4171/rsmup/116
Classification : 14 
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     author = {Carolina Rivera Arredondo},
     title = {Height pairings of 1-motives},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {151--181},
     volume = {149},
     year = {2023},
     doi = {10.4171/rsmup/116},
     zbl = {07688320},
     mrnumber = {4575367},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/116/}
}
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Carolina Rivera Arredondo. Height pairings of 1-motives. Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 151-181. doi : 10.4171/rsmup/116. http://archive.numdam.org/articles/10.4171/rsmup/116/

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