Heights on a subvariety of an abelian variety.

DOI10.1016/j.jnt.2003.07.002zbMath1040.11049OpenAlexW2019030517MaRDI QIDQ1421307

Takashi Ichikawa

Publication date: 26 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.07.002

zbMATH Keywords

Abelian varietiesArakelov theoryBogomolov conjectureNeron-Tate height

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Small points and Arakelov theory
• Equidistribution of small points on abelian varieties
• Positivity and discretion of algebraic points of curves
• Arithmetic height functions over finitely generated fields
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• POINTS OF FINITE ORDER ON AN ABELIAN VARIETY
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