Counting rational points of cubic hypersurfaces
Apparaît dans la collection : Rational Points on Fano and Similar Varieties
Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asymptotic behavior of N(X;B) when B growths. We present some recent results on this for various classes of cubic hypersurfaces.
