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 -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.
@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://archive.numdam.org/articles/10.4171/rsmup/116/}
}
TY - JOUR AU - Rivera Arredondo, Carolina TI - Height pairings of 1-motives JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2023 SP - 151 EP - 181 VL - 149 UR - http://archive.numdam.org/articles/10.4171/rsmup/116/ DO - 10.4171/rsmup/116 LA - en ID - RSMUP_2023__149__151_0 ER -
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. http://archive.numdam.org/articles/10.4171/rsmup/116/
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