Uniformity in Mordell-Lang for curves

DOI10.4007/annals.2021.194.1.4OpenAlexW3176022860MaRDI QIDQ2170807

Vesselin Dimitrov, Philipp Habegger, Ziyang Gao

Publication date: 6 September 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10276

zbMATH Keywords

rational pointsuniformityMordell-Langheight inequality

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50) Global ground fields in algebraic geometry (14G25)

Related Items (14)

Elliptic curves with common torsion 𝑥-coordinates and hyperelliptic torsion packets ⋮ Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité ⋮ Torsion points on isogenous abelian varieties ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ Weight filtrations on Selmer schemes and the effective Chabauty–Kim method ⋮ On the Parshin-Arakelov theorem and integral sections on elliptic surfaces ⋮ The relative Bogomolov conjecture for fibered products of elliptic curves ⋮ The number of rational points on a curve of genus at least two ⋮ The Ax-Schanuel conjecture for variations of mixed Hodge structures ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ Unnamed Item ⋮ Corrigendum: Generic rank of Betti map and unlikely intersections

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