Heights in families of abelian varieties and the geometric Bogomolov conjecture
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Publication:1732986
zbMath1432.11060arXiv1801.05762MaRDI QIDQ1732986
Publication date: 26 March 2019
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.05762
o-minimalitypoint countingheight inequalityfunctional constancygeometric and relative Bogomolov conjecture
Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)
Related Items (7)
Geometric Bogomolov conjecture in arbitrary characteristics ⋮ The geometric Bogomolov conjecture ⋮ Uniformity in Mordell-Lang for curves ⋮ The number of rational points on a curve of genus at least two ⋮ Dynamics on ℙ1: preperiodic points and pairwise stability ⋮ Generic rank of Betti map and unlikely intersections ⋮ The Betti map associated to a section of an abelian scheme
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