Height pairings of 1-motives
Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 151-181.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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.

Accepté le :
Publié le :
DOI : 10.4171/rsmup/116
Classification : 14 
@article{RSMUP_2023__149__151_0,
     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://www.numdam.org/articles/10.4171/rsmup/116/}
}
TY  - JOUR
AU  - Carolina Rivera Arredondo
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://www.numdam.org/articles/10.4171/rsmup/116/
DO  - 10.4171/rsmup/116
LA  - en
ID  - RSMUP_2023__149__151_0
ER  - 
%0 Journal Article
%A Carolina Rivera Arredondo
%T Height pairings of 1-motives
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2023
%P 151-181
%V 149
%U http://www.numdam.org/articles/10.4171/rsmup/116/
%R 10.4171/rsmup/116
%G en
%F RSMUP_2023__149__151_0
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://www.numdam.org/articles/10.4171/rsmup/116/

Cité par Sources :