Counting Rational Points on Cubic Hypersurfaces

DOI10.1112/S0025579300000243zbMath1161.11020arXiv0707.2296OpenAlexW2964048781MaRDI QIDQ3515269

Timothy D. Browning

Publication date: 29 July 2008

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2296

zbMATH Keywords

rational pointscircle methodcubic hypersurfacescubic forms

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Varieties over global fields (11G35) Diophantine equations in many variables (11D72) Algebraic cycles (14C25) Hypersurfaces and algebraic geometry (14J70)

Related Items (2)

COUNTING RATIONAL POINTS ON CUBIC HYPERSURFACES: CORRIGENDUM ⋮ Counting rational points on projective varieties

Cites Work

• Unnamed Item
• The density of rational points on non-singular hypersurfaces
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Cubic forms in 14 variables
• Cubic forms in sixteen variables
• Cubic Forms in Ten Variables
• Counting rational points on hypersurfaces
• THE DENSITY OF RATIONAL POINTS ON NON-SINGULAR HYPERSURFACES, II

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