On the \(p\)-adic closure of a subgroup of rational points on an abelian variety

DOI10.1007/s13370-011-0012-3zbMath1291.11104arXiv1012.4823OpenAlexW2150732763WikidataQ57377764 ScholiaQ57377764MaRDI QIDQ351539

Michel Waldschmidt

Publication date: 8 July 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4823

zbMATH Keywords

rational pointsabelian varieties\(p\)-adic closureLeopoldt's conjecture

Mathematics Subject Classification ID

Transcendence theory of elliptic and abelian functions (11J89) Results involving abelian varieties (11J95) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Quadratic Chabauty for modular curves: algorithms and examples ⋮ Quadratic Chabauty and rational points. I: \(p\)-adic heights ⋮ Explicit quadratic Chabauty over number fields

Cites Work

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• Sous-groupes analytiques de groupes algébriques
• Transcendance et exponentielles en plusieurs variables
• Zero estimates on group varieties. I
• Dependence of logarithms on commutative algebraic groups
• Density measure of rational points on Abelian varieties
• Autour du Théorème du Sous-Groupe Algébrique
• Approximation diophantienne dans les groupes algbriques commutatifs. (I): Une version effective du thorme du sous-group algbrique.
• Densité des points rationnels sur un groupe algébrique
• Diophantine Approximation and Automorphic Spectrum

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