Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène
Let 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.
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853 - 885
853 - 885
Cambridge University Press