Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

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Publication:5018387

DOI10.1007/978-3-030-65203-6_2zbMATH Open1489.14034arXiv1910.12755OpenAlexW3138599089MaRDI QIDQ5018387

Author name not available (Why is that?)

Publication date: 16 December 2021

Published in: (Search for Journal in Brave)

Abstract: We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usually called the method of Chabauty--Kim or non-abelian Chabauty in the literature, has the advantage that in some cases it has been turned into an effective method to determine the set of rational points on a curve, and we illustrate this by presenting three new examples of modular curves where this set can be determined.


Full work available at URL: https://arxiv.org/abs/1910.12755



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