2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168474We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces 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.9 pagesDifferential Geometry53B25; 53C40text