Massey products for elliptic curves of rank 1

Abstract

For an elliptic curve over Q of analytic rank 1, 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.

References in corpus (2)

• p-adic multiple zeta values I -- p-adic multiple polylogarithms and the p-adic KZ equation
• Selmer varieties for curves with CM Jacobians

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• Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves
• Computing integral points on hyperelliptic curves using quadratic Chabauty
• Tamagawa products of elliptic curves over $\mathbb{Q}$
• Linear and quadratic Chabauty for affine hyperbolic curves
• The Chabauty--Coleman method and p-adic linear forms in logarithms
• $M_{0,5}$: Towards the Chabauty-Kim method in higher dimensions