Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves

We give a formula for the component at p of the p-adic height pairing of a divisor of degree 0 on a hyperelliptic curve. We use this to give a Chabauty-like method for finding p-adic approximations to p-integral points on such curves when the Mordell-Weil rank of the Jacobian equals the genus. In th...

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Bibliographic Details
Main Authors: Balakrishnan, J, Besser, A, Müller, J
Format: Journal article
Published: 2013