Computing integral points on hyperelliptic curves using quadratic Chabauty

Jennifer S. Balakrishnan, Amnon Besser, J. Steffen Müller

Published 2015-04-27Version 1

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