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arXiv · 1601.00388

Quadratic Chabauty and rational points I: p-adic heights

Jennifer S. Balakrishnan·Netan Dogra
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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 $\mathbb{Q}$ or a quadratic number field. We accomplish this by studying the role of $p$-adic heights in explicit nonabelian Chabauty.

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BibTeXRIS

Jennifer S. Balakrishnan, Netan Dogra. 2016-01-04. Quadratic Chabauty and rational points I: p-adic heights. https://doi.org/10.1215/00127094-2018-0013

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