Boundary regularity of correspondences in ℂn

  • Rasul Shafikov
  • Kaushal Verma
Article

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.

Keywords

Correspondences Segre varieties 

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Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  • Rasul Shafikov
    • 1
  • Kaushal Verma
    • 2
  1. 1.Department of Mathematics, Middlesex CollegeUniversity of Western OntarioLondonUSA
  2. 2.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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