Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MEYER, Bertrand | |
| dc.date.accessioned | 2024-04-04T02:54:06Z | |
| dc.date.available | 2024-04-04T02:54:06Z | |
| dc.date.issued | 2009-01-01 | |
| dc.identifier.issn | 0037-9484 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192244 | |
| dc.description.abstractEn | This 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.iso | en | |
| dc.publisher | Société Mathématique de France | |
| dc.subject.en | Hermite constant | |
| dc.subject.en | Voronoi theory | |
| dc.title.en | Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0804.0292 | |
| bordeaux.journal | Bulletin de la société mathématique de France | |
| bordeaux.page | p 127-158 | |
| bordeaux.volume | 137 | |
| 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-00268899 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00268899v1 | |
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