Small points and Arakelov theory

zbMath0912.14008MaRDI QIDQ1126721

Shou-Wu Zhang

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228034

zbMATH Keywords

abelian varietyArakelov theoryarithmetic surfaceBogomolov conjectureNéron-Tate heightspositivity of the dualizing sheaf

Mathematics Subject Classification ID

Varieties over global fields (11G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic theory of abelian varieties (14K05)

Related Items (11)

Points of small height on semiabelian varieties ⋮ Small points and the Bogomolov conjecture ⋮ Unlikely Intersections and Pell’s Equations in Polynomials ⋮ Capacity theory and arithmetic intersection theory ⋮ The relative Bogomolov conjecture for fibered products of elliptic curves ⋮ The number of rational points on a curve of genus at least two ⋮ Heights on a subvariety of an abelian variety. ⋮ Big line bundles over arithmetic varieties ⋮ A consequence of the relative Bogomolov conjecture ⋮ Basics on the theory of heights and its applications to certain Diophantine problems ⋮ Distribution of almost division points

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