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Abstract: Introduction Soit E une courbe elliptique d'efinie sur Q, et X son groupe de TateShafarevich, d'efinie par X = ker / H 1 (Q; E) \Gamma! Y v H 1 (Q v ; E) ! ; o`u v d'ecrit l'ensemble des places finies et 1 de Q (voir [30] pour une d'efinition des groupes H 1 (Q; E) et H 1 (Q v ; E)). Ce groupe est ab'elien, et sa finitude pour toute courbe elliptique est encore conjecturale, mais, en 1987, Rubin [29] a donn'e un exemple d'une famille infinie de courbes elliptiques pour... (Update)
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BibTeX entry: (Update)
A. Nitaj, Invariants des courbes de Frey--Hellegouarch et grands groupes de Tate-- Shafarevich, preprint, 1998. http://citeseer.ist.psu.edu/nitaj98invariants.html More
@misc{ nitaj98invariants,
author = "A. Nitaj",
title = "Invariants des courbes de Frey--Hellegouarch et grands groupes de Tate--
Shafarevich",
text = "A. Nitaj, Invariants des courbes de Frey--Hellegouarch et grands groupes
de Tate-- Shafarevich, preprint, 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/nitaj98invariants.html" }
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ftp://megrez.ceremab.u-bordeaux.fr/pub/pari/
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