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math.NT2011
Théorème des périodes et degrés minimaux d'isogénies
Éric Gaudron, Gaël Rémond
We give a new, sharpened version of the period theorem of Masser and Wüstholz, which is moreover totally explicit. We also present a new formulation involving all archimedean place…
math.NT2010
Minorations simultanées de formes linéaires de logarithmes de nombres algébriques
Éric Gaudron
This work falls within the theory of linear forms in logarithms over a commutative linear group defined over a number field. We give lower bounds for simultaneous linear forms in l…
math.NT2006
Pentes des fibrés vectoriels adéliques sur un corps global
Éric Gaudron
At the end of the twentieth century, J.-B. Bost developped a slope theory of hermitian vector bundles over number fields. A new method of diophantine approximation, the so-called s…