Rational points on finite covers of \({\mathbb P}^{1}\) and \({\mathbb P}^{2}\)

DOI10.1016/S0022-314X(03)00043-XzbMath1054.14024MaRDI QIDQ1399680

Niklas Broberg

Publication date: 30 July 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

thin setheight functionfinite cover of degree at least threemultiplicative height

Mathematics Subject Classification ID

Rational points (14G05) Coverings of curves, fundamental group (14H30) Varieties over global fields (11G35) Heights (11G50) Coverings in algebraic geometry (14E20)

Related Items (7)

A Diophantine problem about Kummer surfaces ⋮ Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$ ⋮ Geometric generalizations of the square sieve, with an application to cyclic covers ⋮ Counting rational points on smooth cyclic covers ⋮ Imaginary quadratic fields with class group exponent 5 ⋮ Integer points on elliptic curves ⋮ Density of rational points on cyclic covers of \(\mathbb{P}^n\)

Cites Work

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• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• The Geometry of Schemes

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