Computing integral points on hyperelliptic curves using quadratic Chabauty
Number Theory
2015-11-11 v2
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 -adic approximation techniques introduced in previous work with the Mordell-Weil sieve
Cite
@article{arxiv.1504.07040,
title = {Computing integral points on hyperelliptic curves using quadratic Chabauty},
author = {Jennifer S. Balakrishnan and Amnon Besser and J. Steffen Müller},
journal= {arXiv preprint arXiv:1504.07040},
year = {2015}
}
Comments
Minor revision. To appear in Math. Comp