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

TD Browning

doi:10.1112/S0010437X0900459X

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

TD Browning

Research output: Contribution to journal › Article (Academic Journal) › peer-review

8 Citations (Scopus)

Abstract

Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over . We show that X() is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.

Translated title of the contribution	Rational points on cubic hypersurfaces that split off a form
Original language	English
Pages (from-to)	853 - 885
Number of pages	33
Journal	Compositio Mathematica
Volume	146
Issue number	4
Early online date	15 Feb 2010
DOIs	https://doi.org/10.1112/S0010437X0900459X
Publication status	Published - Jul 2010

Bibliographical note

Publisher: Cambridge Journals

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10.1112/S0010437X0900459X

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7828242

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DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY
Browning, T. D. (Principal Investigator)
1/09/07 → 1/04/13
Project: Research

Cite this

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abstract = "Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over . We show that X() is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.",

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note = "Publisher: Cambridge Journals",

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

Abstract

Bibliographical note

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DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY

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