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Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes

hal.structure.identifierUniversité Sciences et Technologies - Bordeaux 1 [UB]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAZUKI, Fabien
dc.date.accessioned2024-04-04T02:22:54Z
dc.date.available2024-04-04T02:22:54Z
dc.date.created2011-10-28
dc.date.issued2013
dc.identifier.issn0025-2611
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189685
dc.description.abstractEnThis 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.isoen
dc.publisherSpringer Verlag
dc.titleMinoration de la hauteur de Neron-Tate sur les surfaces abeliennes
dc.typeArticle de revue
dc.identifier.doi10.1007/s00229-012-0593-7
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0812.2854
bordeaux.journalManuscripta mathematica
bordeaux.page10.1007/s00229-012-0593-7
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00778442
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00778442v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Minoration%20de%20la%20hauteur%20de%20Neron-Tate%20sur%20les%20surfaces%20abeliennes&rft.atitle=Minoration%20de%20la%20hauteur%20de%20Neron-Tate%20sur%20les%20surfaces%20abeliennes&rft.jtitle=Manuscripta%20mathematica&rft.date=2013&rft.spage=10.1007/s00229-012-0593-7&rft.epage=10.1007/s00229-012-0593-7&rft.eissn=0025-2611&rft.issn=0025-2611&rft.au=PAZUKI,%20Fabien&rft.genre=article


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