An effective Chabauty–Kim theorem

• Published in: Compositio mathematica Vol. 155; no. 6; pp. 1057 - 1075
• Main Authors: Balakrishnan, Jennifer S., Dogra, Netan
• Format: Journal Article
• Language: English
• Published: London, UK London Mathematical Society 01.06.2019; Cambridge University Press
• Subjects: Power; Theorems; New York; curves; effective methods; 11D45 (secondary); rational points; 14G05 (primary)

The Chabauty–Kim method allows one to find rational points on curves under certain technical conditions, generalising Chabauty’s proof of the Mordell conjecture for curves with Mordell–Weil rank less than their genus. We show how the Chabauty–Kim method, when these technical conditions are satisfied...