Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX, 33 pages with 2 figures, hard copy available in a few days; send email to edix@univ-rennes1.fr

Scientific paper

In this paper we give a detailed proof of a result we announced a year ago.
This result is an effective version of the theorem of Mazur-Kamienny-Merel
concerning uniform bounds for rational torsion points on elliptic curves over
number fields.

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