Massey products for elliptic curves of rank 1

Kim, Minhyong

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

Massey products for elliptic curves of rank $1$
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by Minhyong Kim

J. Amer. Math. Soc. 23 (2010), 725-747

DOI: https://doi.org/10.1090/S0894-0347-10-00665-X

Published electronically: March 12, 2010

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Erratum: J. Amer. Math. Soc. 24 (2011), 281-291.

Abstract:

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.

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