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Rational points on cubic hypersurfaces that split off a form. With an appendix by J.-L. Colliot-Thélène
Published online by Cambridge University Press: 15 February 2010
Abstract
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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- Copyright © Foundation Compositio Mathematica 2010
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