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

Research output: Contribution to journalArticlepeer-review

Jennifer Balakrishnan, Netan Dogra

Original languageEnglish
JournalInternational Mathematics Research Notices
Early online date1 Feb 2020
DOIs
Accepted/In press28 Nov 2019
E-pub ahead of print1 Feb 2020

King's Authors

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.

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