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arXiv · 1504.07040

Computing integral points on hyperelliptic curves using quadratic Chabauty

Jennifer S. Balakrishnan·Amnon Besser·J. Steffen Müller
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Abstract

We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the $p$-adic approximation techniques introduced in previous work with the Mordell-Weil sieve

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Jennifer S. Balakrishnan, Amnon Besser, J. Steffen Müller. 2015-04-27. Computing integral points on hyperelliptic curves using quadratic Chabauty. https://arxiv.org/abs/1504.07040

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