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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMEYER, Bertrand
dc.date.accessioned2024-04-04T02:54:06Z
dc.date.available2024-04-04T02:54:06Z
dc.date.issued2009-01-01
dc.identifier.issn0037-9484
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192244
dc.description.abstractEnThis paper explores the study of the general Hermite constant associated to the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag varieties, is built and notions of perfection and eutaxy characterising extremality are introduced. Finally we acquaint some relations (e.g. with Korkine--Zolotareff reduction), upper bounds and computation relative to these constants.
dc.language.isoen
dc.publisherSociété Mathématique de France
dc.subject.enHermite constant
dc.subject.enVoronoi theory
dc.title.enGeneralised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0804.0292
bordeaux.journalBulletin de la société mathématique de France
bordeaux.pagep 127-158
bordeaux.volume137
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00268899
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00268899v1
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