Invariant d'Hermite des jacobiennes de graphes pondérés

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dc.creatorBalacheff, Florent
dc.date2005-06-30
dc.date.accessioned2026-07-07T08:45:08Z
dc.date.available2026-07-07T08:45:08Z
dc.descriptionTo any weighted graph of first Betti number b is naturally associated a lattice of dimension b, definite in a similar way that the jacobian for a Riemann surface. This class of lattices generated by graphs is particularly interesting. We show here an upperbound of the Hermite invariant of such a lattice according to b whose order is ln b. This order is optimal : it is realized by the Hermite invariant of the jacobian of a systolicly economic graph.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0506616
dc.identifierhttp://arxiv.org/abs/math/0506616
dc.identifierL'Enseignement Mathématique 52, 3-4 (2006) 255-266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142879
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subjectNumber Theory
dc.subject05C35, 05C38, 11H31
dc.titleInvariant d'Hermite des jacobiennes de graphes pondérés
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