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Invariant d'Hermite des jacobiennes de graphes pondérés

Published in Enseignement mathématique. 2006, vol. 52, no. 3/4, p. 255-266
Abstract To 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.
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BALACHEFF, Florent Nicolas. Invariant d'Hermite des jacobiennes de graphes pondérés. In: Enseignement mathématique, 2006, vol. 52, n° 3/4, p. 255-266. https://archive-ouverte.unige.ch/unige:12134

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Deposited on : 2010-10-18

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