Geodesic
Studying the growth of Mordell-Weil
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 585-607.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We study the growth of the Mordell-Weil groups $E(K_n)$ of an elliptic curve $E$ as $K_n$ runs through the intermediate fields of a $\Bbb Z_p$-extension. We describe those $\Bbb Z_p$-extensions $K_\infty/K$ where we expect the ranks to grow to infinity. In the cases where we know or expect the rank to grow, we discuss where we expect to find the submodule of universal norms.
Classification : 11G40, 11G05, 11R23, 14G05 
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     author = {Mazur, Barry and Rubin, Karl},
     title = {Studying the growth of {Mordell-Weil}},
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Mazur, Barry; Rubin, Karl. Studying the growth of Mordell-Weil. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 585-607. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a8/