Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes
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 | 2024-04-04T02:22:54Z | |
dc.date.available | 2024-04-04T02:22:54Z | |
dc.date.created | 2011-10-28 | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0025-2611 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189685 | |
dc.description.abstractEn | This paper contains results concerning a conjecture made by Lang and Silverman predicting a lower bound for the canonical height on abelian varieties of dimension 2 over number fields. The method used here is a local height decomposition. We derive as corollaries uniform bounds on the number of torsion points on families of abelian surfaces and on the number of rational points on families of genus 2 curves. | |
dc.language.iso | en | |
dc.publisher | Springer Verlag | |
dc.title | Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s00229-012-0593-7 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 0812.2854 | |
bordeaux.journal | Manuscripta mathematica | |
bordeaux.page | 10.1007/s00229-012-0593-7 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00778442 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00778442v1 | |
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