Small points on constant arithmetic surfaces

DOI10.1215/S0012-7094-90-06131-9zbMath0727.14016OpenAlexW1979202831MaRDI QIDQ803221

Minhyong Kim

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06131-9

zbMATH Keywords

intersection theoryArakelov theorysmall pointsNéron-Tate heightsconstant arithmetic surfaces

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (1)

Small points and the Bogomolov conjecture

Cites Work

• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Calculus on arithmetic surfaces
• Courbes sur une variété abélienne et points de torsion
• Arithmetic intersection theory
• Numerically positive line bundles on an Arakelov variety
• An Introduction to the Geometry of Numbers
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