Quadratic Chabauty and rational points. I: \(p\)-adic heights

DOI10.1215/00127094-2018-0013zbMATH Open1401.14123arXiv1601.00388OpenAlexW2230433960WikidataQ129507915 ScholiaQ129507915MaRDI QIDQ1785959

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Publication date: 21 September 2018

Published in: (Search for Journal in Brave)

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 $mathbbQ$ or a quadratic number field. We accomplish this by studying the role of $p$-adic heights in explicit nonabelian Chabauty.

Full work available at URL: https://arxiv.org/abs/1601.00388

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