Transversality of holomorphic mappings between real hypersurfaces in complex spaces of different dimensions
Transversality of holomorphic mappings between real hypersurfaces in complex spaces of different dimensions
We consider holomorphic mappings $H$ between a smooth real hypersurface $M\subset\mathbb{C}^{n+1}$ and another $M'\subset\mathbb{C}^{N+1}$ with $N\geq n$. We provide conditions guaranteeing that $H$ is transversal to $M'$ along all of $M$. In the strictly pseudoconvex case, this is well known and follows from the classical Hopf boundary lemma. In the …