# Counting rational points of cubic hypersurfaces

## Per Salberger

Let \(N(X;B)\) be the number of rational points of height at most \(B\) on an
integral cubic hypersurface \(X\) over \(\mathbf Q\). 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.