English

Holomorphic correspondences between CR manifolds

Complex Variables 2007-10-19 v1 Algebraic Geometry Differential Geometry

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 P^N of the same CR-dimension extends as a holomorphic correspondence along M. Applications are given for pseudoconcave submanifolds of P^N.

Keywords

Cite

@article{arxiv.0710.3579,
  title  = {Holomorphic correspondences between CR manifolds},
  author = {C. Denson Hill and Rasul Shafikov},
  journal= {arXiv preprint arXiv:0710.3579},
  year   = {2007}
}
R2 v1 2026-06-21T09:33:44.637Z