Massey products for elliptic curves of rank 1

Kim, Minhyong¹

¹ Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom and The Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea

Journal of the American Mathematical Society, Tome 23 (2010) no. 3, pp. 725-747

Résumé

For an elliptic curve over $\mathbb {Q}$ of rank 1, integral $j$-invariant, and suitable finiteness in the Tate-Shafarevich group, we use the level-two Selmer variety and secondary cohomology products to find explicit analytic defining equations for global integral points inside the set of $p$-adic points.

Détail

DOI : 10.1090/S0894-0347-10-00665-X

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