Let X be a non-singular projective hypersurface of degree 4, which is defined over the rational numbers. Assume that X has dimension 39 or more, and that X contains a real point and p-adic points for every prime p. Then X is shown to contain infinitely many rational points.
|Translated title of the contribution||Rational points on quartic hypersurfaces|
|Journal||Journal für die reine und angewandte Mathematik|
|Publication status||Accepted/In press - 2007|