Décompositions en hauteurs locales
| hal.structure.identifier | Université Sciences et Technologies - Bordeaux 1 [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAZUKI, Fabien | |
| dc.date.accessioned | 2024-04-04T02:19:30Z | |
| dc.date.available | 2024-04-04T02:19:30Z | |
| dc.date.created | 2013-10-30 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189408 | |
| dc.description.abstractEn | Let A be an abelian variety defined over a number field k. We provide in this paper different decomposition formulas for the Néron-Tate height of k-rational points on A. We deduce a decomposition of the Faltings height of the variety A itself. We also produce a local decomposition of the self-intersection of the relative dualizing sheaf (\omega_C.\omega_C) when A is the jacobian of a curve C. We formulate in 2.4 a question of Bogomolov type on the space of principally polarized abelian varieties of dimension g. | |
| dc.language.iso | fr | |
| dc.subject.en | Heights | |
| dc.subject.en | Abelian varieties | |
| dc.subject.en | Torsion points | |
| dc.subject.en | Rational points | |
| dc.title | Décompositions en hauteurs locales | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1205.4525 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00948069 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00948069v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=D%C3%A9compositions%20en%20hauteurs%20locales&rft.atitle=D%C3%A9compositions%20en%20hauteurs%20locales&rft.au=PAZUKI,%20Fabien&rft.genre=preprint |
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