Theta height and Faltings height
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université Sciences et Technologies - Bordeaux 1 [UB] | |
| dc.contributor.author | PAZUKI, Fabien | |
| dc.date.accessioned | 2024-04-04T02:22:56Z | |
| dc.date.available | 2024-04-04T02:22:56Z | |
| dc.date.created | 2009-07-09 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0037-9484 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189688 | |
| dc.description.abstractEn | Using original ideas from J.-B. Bost and S. David, we provide an explicit comparison between the Theta height and the stable Faltings height of a principally polarized abelian variety. We also give as an application an explicit upper bound on the number of K-rational points of a curve of genus g>1 over a number filed K under a conjecture of S. Lang and J. Silverman. We complete the study with a comparison between differential lattice structures. | |
| dc.language.iso | en | |
| dc.publisher | Société Mathématique de France | |
| dc.title.en | Theta height and Faltings height | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.24033/bsmf.2623 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0907.1458 | |
| bordeaux.journal | Bulletin de la société mathématique de France | |
| bordeaux.page | 19-49 | |
| bordeaux.volume | 140 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00778439 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00778439v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Bulletin%20de%20la%20soci%C3%A9t%C3%A9%20math%C3%A9matique%20de%20France&rft.date=2012&rft.volume=140&rft.issue=1&rft.spage=19-49&rft.epage=19-49&rft.eissn=0037-9484&rft.issn=0037-9484&rft.au=PAZUKI,%20Fabien&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||