Uniform Bound for the Number of Rational Points on a Pencil of Curves

DOI10.1093/imrn/rnz248zbMath1487.14056arXiv1904.07268OpenAlexW2983448132MaRDI QIDQ5005241

Vesselin Dimitrov, Ziyang Gao, Philipp Habegger

Publication date: 9 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07268

zbMATH Keywords

uniformity conjecture

Mathematics Subject Classification ID

Rational points (14G05) Families, moduli of curves (algebraic) (14H10)

Related Items (5)

Uniformity in Mordell-Lang for curves ⋮ The relative Bogomolov conjecture for fibered products of elliptic curves ⋮ The number of rational points on a curve of genus at least two ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ Linear families of smooth hypersurfaces over finitely generated fields

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