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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|
|Pages (from-to)||853 - 885|
|Number of pages||33|
|Early online date||15 Feb 2010|
|Publication status||Published - Jul 2010|