POINTS OF SMALL HEIGHT ON AFFINE VARIETIES DEFINED OVER FUNCTION FIELDS OF FINITE TRANSCENDENCE DEGREE

DOI10.1017/S0004972720001057zbMath1469.11221OpenAlexW3092575393MaRDI QIDQ4989446

Dragos Ghioca, Dac-Nhan-Tam Nguyen

Publication date: 25 May 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001057

zbMATH Keywords

function fieldsWeil heightBogomolov conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Heights (11G50) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

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• Equidistribution of small points on abelian varieties
• Positivity and discretion of algebraic points of curves
• Limit distribution of small points on algebraic tori
• A Bogomolov type statement for function fields
• Points of Small Height on Varieties Defined over a Function Field
• Positive Line Bundles on Arithmetic Varieties

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