Holomorphic Mappings between Hyperquadrics with Small Signature Difference

M. Salah Baouendi, Peter Ebenfelt, Xiaojun Huang

In this paper, we study holomorphic mappings sending a hyperquadric of signature $\ell$ in $\bC^n$ into a hyperquadric of signature ${\ell }^{\prime }$ in $\bC^N$. We show (Theorem \ref{main})…