Preprint A619/2008
The holomorphic Gauss Parametrization
Luis Florit | Dajczer, Marcos
We give a local parametric description of all complex hypersurfaces in $\C^{n+1}$ and in complex projective space $\CP^{n+1}$ with constant index of relative nullity, together with applications. This is a complex analogue to the parametrization for real hypersurfaces in Euclidean space known as the Gauss parametrization.