Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves

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

We give a formula for the component at p of the p-adic height pairing of a divisor of degree 0 on a hyperelliptic curve. We use this to give a Chabauty-like method for finding p-ad…