Quadratic Chabauty and rational points, I: p-adic heights

We give the first explicit examples beyond the Chabauty–Coleman method where Kim’s nonabelian Chabauty program determines the set of rational points of a curve defined over Q or a quadratic number field. We accomplish this by studying the role of p-adic heights in explicit non-Abelian Chabauty.

Bibliographic Details
Main Authors: Balakrishnan, J, Dogra, N
Format: Journal article
Published: Duke University Press 2018