Computing integral points on hyperelliptic curves using quadratic Chabauty

Balakrishnan, Jennifer; Besser, Amnon; Müller, J.

doi:10.1090/mcom/3130

Computing integral points on hyperelliptic curves using quadratic Chabauty
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by Jennifer S. Balakrishnan, Amnon Besser and J. Steffen Müller PDF

Math. Comp. 86 (2017), 1403-1434 Request permission

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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