Rational points on cubic hypersurfaces that split off a form. With an appendix by J.-L. Colliot-Thélène

DOI10.1112/S0010437X0900459XzbMath1198.14021arXiv0808.0125MaRDI QIDQ3577312

Jean-Louis Colliot-Thélène, Timothy D. Browning

Publication date: 22 July 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0125

zbMATH Keywords

circle methodHasse principlecubic formscubic hypersurface

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25)

Related Items (5)

COUNTING RATIONAL POINTS ON CUBIC HYPERSURFACES: CORRIGENDUM ⋮ Cubic Diophantine inequalities for split forms ⋮ On the fibration method for zero-cycles and rational points ⋮ RATIONAL POINTS ON CUBIC HYPERSURFACES THAT SPLIT INTO FOUR FORMS ⋮ Representing squares by cubic forms

Cites Work

• Cubic forms in sixteen variables
• UNIRATIONALITY OF CUBIC HYPERSURFACES
• On Arithmetical Properties of Singular Cubic Surfaces

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