IUMJ

Title: Holomorphic correspondences between $CR$ manifolds

Authors: C. Denson Hill and Rasul Shafikov

Issue: Volume 54 (2005), Issue 2, 417-442

Abstract:

It is proved that a germ of a real analytic CR map from a smooth real-analytic minimal CR manifold $M$ to an essentially finite real-algebraic generic submanifold $M'$ of $\mathbb{P}^N$ of the same CR-dimension extends as a holomorphic correspondence along $M$. Applications are given for pseudoconcave submanifolds of $\mathbb{P}^n$.