Minoration de la hauteur de Néron-Tate sur les variétés abÉliennes de type C. M

DOI10.1515/crll.2000.096zbMath0993.11034OpenAlexW2159521196MaRDI QIDQ4520949

Sinnou David, Marc Hindry

Publication date: 19 December 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.096

zbMATH Keywords

zero estimatesrational pointsabelian varietiesnumber fieldscomplex multiplicationNéron-Tate heightLehmer's problem

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Finite ground fields in algebraic geometry (14G15) Complex multiplication and moduli of abelian varieties (11G15) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Results involving abelian varieties (11J95)

Related Items (14)

Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité ⋮ The local Lehmer inequality for Drinfeld modules ⋮ Lehmer problem and CM abelian varieties ⋮ The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules ⋮ On the Northcott property for special values of \(L\)-functions ⋮ A lower bound for the canonical height on elliptic curves over abelian extensions. ⋮ Density of points and lower bound for the height ⋮ Heights in families of abelian varieties and the geometric Bogomolov conjecture ⋮ Unnamed Item ⋮ Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties ⋮ Some consequences of Masser's counting theorem on elliptic curves ⋮ Intersections of subgroups and subvarieties. I ⋮ Unnamed Item ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes

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