Computing integral points on hyperelliptic curves using quadratic\n Chabauty

2015/04/27 by Jennifer S. Balakrishnan, Balakrishnan, Jennifer S., Amnon Besser +3 · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1504.07040

Abstract

We give a method for the computation of integral points on a hyperelliptic\ncurve of odd degree over the rationals whose genus equals the Mordell-Weil rank\nof its Jacobian. Our approach consists of a combination of the p-adic\napproximation techniques introduced in previous work with the Mordell-Weil\nsieve\n

Citations

• A generalized inverse for matrices

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