Formes linéaires de logarithmes effectives sur les variétés abéliennes
From MaRDI portal
Publication:3428588
DOI10.1016/j.ansens.2006.09.001zbMath1111.11038OpenAlexW2020511140MaRDI QIDQ3428588
Publication date: 27 March 2007
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2006_4_39_5_699_0
Abelian varieties of dimension (> 1) (11G10) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Linear forms in logarithms; Baker's method (11J86)
Related Items (8)
Unnamed Item ⋮ Slopes of adelic vector bundles over global fields ⋮ An effective matrix lemma ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Study of the rational case of the theory of linear forms in logarithms ⋮ Auxiliary functions in transcendental number theory ⋮ Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel ⋮ Elliptic Functions and Transcendence
Cites Work
- Estimating isogenies on elliptic curves
- Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups)
- Linear forms in logarithms on commutative algebraic groups
- Families of translations of commutative algebraic groups
- Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
- Diophantine approximation on Abelian varieties with complex multiplication
- Elliptic functions and transcendence
- Diophantine approximation on abelian varieties with complex multiplication
- New bounds in some transference theorems in the geometry of numbers
- Semi-stability and heights of cycles
- New zero lemmas in commutative algebraic groups
- Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
- Isogeny estimates for abelian varieties, and finiteness theorems
- Formal groups and the isogeny theorem.
- Algebraic leaves of algebraic foliations over number fields.
- Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.)
- Diophantine approximation of \(p\)-adic elliptic logarithms
- Intrinsic heights of stable varieties and abelian varieties
- Periods and minimal abelian subvarieties
- An arithmetic Riemann-Roch theorem
- On heights of algebraic subspaces and diophantine approximations
- On the theory of commutative formal groups
- Measures of linear independence of logarithms on a commutative algebraic group
- Mesure d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif
- Logarithmic forms and group varieties.
- Padé approximations and diophantine geometry
- Néron Models
- Linear forms in algebraic points of Abelian functions. I
- Paramètres algébriques de groupes formels et critères d'isogénie
- Heights of Projective Varieties and Positive Green Forms
- Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
- Computing integral points on elliptic curves
- Approximation diophantienne dans les groupes algbriques commutatifs. (I): Une version effective du thorme du sous-group algbrique.
- Minoration de la hauteur de Néron-Tate sur les variétés abÉliennes de type C. M
- D'une mesure d'approximation simultanee a une mesure d'irrationalite : le cas de Γ(1/4) et Γ(1/3)
- Minorations de formes linéaires de logarithmes elliptiques
- Diophantine Approximations on Toruses
- Linear forms in the logarithms of algebraic numbers (II)
- Linear forms in elliptic logarithms
- Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt
- On the distance of an algebraic point from the origin in Abelian varieties
- Formal subgroups of abelian varieties
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Formes linéaires de logarithmes effectives sur les variétés abéliennes