• Boundary regularity of correspondences in ℂn

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/116/01/0059-0070

• # Keywords

Correspondences; Segre varieties

• # Abstract

LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂn and$$\hat f$$ a holomorphic correspondence (not necessarily proper) that is defined on one side ofM, extends continuously up toM and mapsM to M′. It is shown that$$\hat f$$ must extend acrossM as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich-Pinchuk extension result for CR maps.

• # Author Affiliations

1. Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario - N6A 5B7, USA
2. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019