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Quadratic Chabauty and rational points I: p-adic heights

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Netan Dogra, Jennifer Balakrishnan

Original languageEnglish
Pages (from-to) 1981-2038
JournalDuke mathematical journal
Issue number11
Accepted/In press2 Apr 2018
Published20 Jul 2018

King's Authors


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.

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