scientific article; zbMATH DE number 1054243

zbMath0897.11020MaRDI QIDQ4351906

Enrico Bombieri, Umberto Zannier

Publication date: 6 October 1997

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1996_4_23_4_779_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heightsalgebraic pointsabelian varieties over a number field

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Geometry of numbers (11H99)

Related Items (13)

Unnamed Item ⋮ Small points and the Bogomolov conjecture ⋮ Small height and infinite nonabelian extensions ⋮ \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\) ⋮ Some effective estimates for André-Oort in \(Y(1)^n\) ⋮ On torsion anomalous intersections ⋮ Rational points in periodic analytic sets and the Manin-Mumford conjecture ⋮ Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties ⋮ S-unit points on analytic hypersurfaces ⋮ Unnamed Item ⋮ Approximation diophantienne sur les variétés semi-abéliennes ⋮ An addendum to the elliptic torsion anomalous conjecture in codimension 2 ⋮ Generic bound for the Mordell-Lang problem

Cites Work

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• Weierstrass points on arithmetic surfaces
• Algebraic subgroups of commutative algebraic groups
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
• Division points on semi-abelian varieties
• Positive line bundles on arithmetic surfaces
• Heights of algebraic points lying on curves or hypersurfaces
• Positive Line Bundles on Arithmetic Varieties

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