Height of varieties over finitely generated fields

DOI10.1215/21562261-3445138zbMath1358.14021arXiv1408.3222OpenAlexW3101646617MaRDI QIDQ272914

José Ignacio Burgos Gil, Martín Sombra, Patrice Philippon

Publication date: 21 April 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3222

zbMATH Keywords

heighttoric varietyroof function

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Points of small height on semiabelian varieties ⋮ On Zhang's semipositive metrics ⋮ Roth's theorem over arithmetic function fields

Cites Work

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• A generalization of conjectures of Bogomolov and Lang over finitely generated fields
• Arithmetic height functions over finitely generated fields
• Mahler measures and logarithmic equidistribution
• Heights of Projective Varieties and Positive Green Forms
• The canonical arithmetic height of subvarieties of an abelian variety over a finetely generated field
• Arithmetic geometry of toric varieties. Metrics, measures and heights

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