3 papers
math.NT2021
Sur le théorème de Brauer-Siegel généralisé
Richard Griffon, Philippe Lebacque, Gaël Rémond
We extend the Brauer-Siegel theorem to new families of number fields, both in the classical setting of asymptotically bad families and in the more general framework due to Tsfasman…
math.NT2011
Minima, pentes et algèbre tensorielle
Éric Gaudron, Gaël Rémond
Slopes of an adelic vector bundle exhibit a behaviour akin to successive minima. Comparisons between the two amount to a Siegel lemma. Here we use Zhang's version for absolute mini…
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…