Quadratic Chabauty and Rational Points II: Generalised Heights on Selmer Varieties

Jennifer Balakrishnan, Netan Dogra

Research output: Contribution to journalArticlepeer-review

Abstract

We give new instances where Chabauty–Kim sets can be proved to be finite, by developing a notion of “generalised height functions” on Selmer varieties. We also explain how to compute these generalised heights in terms of iterated integrals and give the 1st explicit nonabelian Chabauty result for a curve X/Q whose Jacobian has Mordell–Weil rank larger than its genus.
Original languageEnglish
JournalInternational Mathematics Research Notices
Early online date1 Feb 2020
DOIs
Publication statusE-pub ahead of print - 1 Feb 2020

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