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Logarithmes des points rationnels des variétés abéliennes

Part of: Arithmetic algebraic geometry Diophantine approximation, transcendental number theory Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  09 January 2019

Vincent Bosser  and
Éric Gaudron
Vincent Bosser
Affiliation:
Laboratoire de mathématiques Nicolas Oresme, Université Caen Normandie, Boulevard Maréchal Juin, 14032 Caen, France Email: vincent.bosser@unicaen.fr
Éric Gaudron
Affiliation:
Université Clermont Auvergne, CNRS, LMBP, F-63000, Clermont-Ferrand, France Email: eric.gaudron@uca.fr
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Abstract

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Keywords

théorème des périodesvariété abéliennelogarithmeméthode de Gel’fond-Bakerthéorie des penteshauteur de Néron-Tatelemme d’interpolation

MSC classification

Primary: 11J86: Linear forms in logarithms; Baker's method
Secondary: 11J95: Results involving abelian varieties 11G10: Abelian varieties of dimension $> 1$ 11G50: Heights 14G40: Arithmetic varieties and schemes; Arakelov theory; heights
Type
Article
Information
Canadian Journal of Mathematics , Volume 71 , Issue 2 , April 2019 , pp. 247 - 298
Copyright
© Société mathématique du Canada 2018 

Footnotes

Les auteurs ont bénéficié du soutien du projet ANR Gardio 14-CE25-0015.

References

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