Quadratic Chabauty and rational points I: p-adic heights

Netan Dogra, Jennifer Balakrishnan

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to) 1981-2038
JournalDuke mathematical journal
Volume167
Issue number11
DOIs
Publication statusPublished - 20 Jul 2018

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