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

Author:

Browning T. D.

Abstract

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

Publisher

Wiley

Subject

Algebra and Number Theory

Reference36 articles.

1. VII. A memoir on cubic surfaces

2. On the Classification of Cubic Surfaces

3. [8] Colliot-Thélène J.-L. , The Brauer–Manin obstruction for complete intersections of dimension ≥3, appendix to [PV04].

4. On nonary cubic forms. II;Hooley;J. Reine Angew. Math.,1991

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