The geometric Bogomolov conjecture

DOI10.1215/00127094-2020-0044zbMath1478.14045arXiv1809.00848OpenAlexW3103181860WikidataQ123301740 ScholiaQ123301740MaRDI QIDQ2657473

Serge Cantat, Philipp Habegger, Junyi Xie, Ziyang Gao

Publication date: 12 March 2021

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

Full work available at URL: https://arxiv.org/abs/1809.00848

zbMATH Keywords

function fieldabelian varietygeometric Bogomolov conjectureBetti foliationBetti form

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Related Items (7)

Geometric Bogomolov conjecture in arbitrary characteristics ⋮ Uniformity in Mordell-Lang for curves ⋮ Rings of tautological forms on moduli spaces of curves ⋮ The number of rational points on a curve of genus at least two ⋮ Random dynamics on real and complex projective surfaces ⋮ The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane ⋮ Generic rank of Betti map and unlikely intersections

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