Uniform bounds for rational points on complete intersections of two quadric surfaces

DOI10.4064/aa170321-24-3zbMath1434.11081arXiv1703.06524OpenAlexW2951364565WikidataQ128874540 ScholiaQ128874540MaRDI QIDQ4614196

Manh Hung Tran

Publication date: 30 January 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06524

zbMATH Keywords

elliptic curvesrational pointsdescentDiophantine equationsdeterminant method

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Cites Work

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• Counting rational points on cubic curves
• The rank of elliptic curves
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Counting rational points on smooth cubic curves
• Counting rational points on hypersurfaces of low dimension
• A note on a paper by R. Heath-Brown: The density of rational points on curves and surfaces
• On the density of rational and integral points on algebraic varieties
• Jacobians of genus one curves.

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