Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties

DOI10.5802/aif.2393zbMath1156.11025arXivmath/0502186OpenAlexW1534971786MaRDI QIDQ939592

Nicolas Ratazzi

Publication date: 26 August 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502186

zbMATH Keywords

Diophantine approximationManin-Mumford conjectureLehmer problemnormalised height

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Complex multiplication and abelian varieties (14K22) Results involving abelian varieties (11J95) Other abelian and metabelian extensions (11R20)

Related Items (4)

Unlikely intersections of curves with algebraic subgroups in semiabelian varieties ⋮ Borne sur la torsion dans les variétés abéliennes de type CM ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension

Cites Work

• On Siegel's lemma
• Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
• Diophantine approximations and diophantine equations
• Density of points and lower bound for the height
• Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.)
• A lower bound for the canonical height on abelian varieties over abelian extensions
• Minimal heights and polarizations on group varieties
• On alternative heights. III
• Good reduction of abelian varieties
• Intersections of subgroups and subvarieties. I
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Borne sur la torsion dans les variétés abéliennes de type CM
• Le problème de Lehmer en dimension supérieure
• Minoration de la hauteur de Néron-Tate sur les variétés abÉliennes de type C. M
• INTERSECTION DE SOUS-GROUPES ET DE SOUS-VARIÉTÉS II
• Abelian varieties over finite fields
• Higher-dimensional algebraic geometry
• 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: Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties