Commutative algebraic groups and p-adic linear forms

DOI10.4064/aa169-2-2zbMath1391.11089arXiv1404.4209OpenAlexW340178950MaRDI QIDQ5255549

Clemens Fuchs, Duc Hiep Pham

Publication date: 15 June 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4209

zbMATH Keywords

linear formsheightscommutative algebraic groupseffective results

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Linear forms in logarithms; Baker's method (11J86) Approximation in non-Archimedean valuations (11J61) Group varieties (14L10)

Related Items (2)

Some applications of the p-adic analytic subgroup theorem ⋮ The \(p\)-adic analytic subgroup theorem revisited

Cites Work

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• Zero estimates on group varieties. II
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• Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
• On the \(abc\) conjecture
• Diophantine approximation of \(p\)-adic elliptic logarithms
• Mesure d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif
• LINEAR FORMS IN TWO ELLIPTIC LOGARITHMS IN THE <I>p</I>-ADIC CASE
• Linear forms on arithmetic abelian varieties: ineffective bounds
• Lemmes de zéros dans les groupes algébriques commutatifs
• Linear forms in the logarithms of algebraic numbers
• An effective p-adic analogue of a theorem of Thue

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