Geodesic
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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Publié le :
DOI : 10.4171/rsmup/116
Classification : 14 
@article{RSMUP_2023__149__151_0,
     author = {Rivera Arredondo, Carolina},
     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://geodesic.mathdoc.fr/articles/10.4171/rsmup/116/}
}
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DO  - 10.4171/rsmup/116
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%0 Journal Article
%A Rivera Arredondo, Carolina
%T Height pairings of 1-motives
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2023
%P 151-181
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Rivera Arredondo, Carolina. Height pairings of 1-motives. Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 151-181. doi: 10.4171/rsmup/116

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