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arXiv · 0808.0125

Rational points on cubic hypersurfaces that split off a form

T. D. Browning
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Abstract

Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over the rationals. In this paper it is shown that X contains rational points provided that the cubic form defining X can be written as the sum of two forms that share no common variables. ----- This paper features an appendix "Groupe de Brauer non ramifié des hypersurfaces cubiques singulières (d'après P. Salberger)", by J.-L. Colliot-Thĺène.

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T. D. Browning. 2008-08-01. Rational points on cubic hypersurfaces that split off a form. https://doi.org/10.1112/s0010437x0900459x

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