Mordell-Lang plus Bogomolov

DOI10.1007/s002220050331zbMath0995.11040arXivmath/9808126OpenAlexW2964018095MaRDI QIDQ1298104

Bjorn Poonen

Publication date: 14 September 1999

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9808126

zbMATH Keywords

canonical heightsemiabelian varietiesMordell-Lang conjectureBogomolov conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (22)

Points of small height on semiabelian varieties ⋮ A Galois-dynamics correspondence for unicritical polynomials ⋮ Small points and the Bogomolov conjecture ⋮ A Mordell-Lang plus Bogomolov type result for curves in \(\mathbb G_m^2\) ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ On a conjecture of Buium and Poonen ⋮ Equidistribution of subvarieties of small height ⋮ Galois theory and torsion points on curves. ⋮ Points de petite hauteur sur les variétés semi-abéliennes ⋮ Intersecting subvarieties of \({G_m^n}\) with algebraic subgroups ⋮ Small points on subvarieties of a torus ⋮ Semi-effective height bound for the Mordell-Lang problem in an abelian variety ⋮ Computing Torsion Points on Curves ⋮ Approximation diophantienne sur les variétés semi-abéliennes ⋮ Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results ⋮ A Bogomolov property for curves modulo algebraic subgroups ⋮ Effective results for points on certain subvarieties of tori ⋮ Inégalité de Vojta généralisée ⋮ Distribution of almost division points ⋮ Semi-effective bound on the height for the Mordell-Lang problem in a torus ⋮ Generic bound for the Mordell-Lang problem ⋮ A generalization of conjectures of Bogomolov and Lang over finitely generated fields

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