Théorème des périodes et degrés minimaux d'isogénies

Details Théorème des périodes et degrés minimaux d'isogénies Théorème des périodes et degrés minimaux d'isogénies

2011-05-06

arxiv.org/abs/1105.1230v1

Mathematics

Number Theory

38 pages

Scientific paper

We give a new, sharpened version of the period theorem of Masser and W\"ustholz, which is moreover totally explicit. We also present a new formulation involving all archimedean places. We then derive new bounds for elliptic isogenies, improving those of Pellarin. The small numerical constants obtained allow an application to Serre's uniformity problem in the split Cartan case, thanks to the work of Bilu, Parent and Rebolledo.

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