Boundary regularity of correspondences in ℂ^{n} Rasul Shafikov Kaushal Verma Article

Received: 06 October 2005 DOI :
10.1007/BF02829739

Cite this article as: Shafikov, R. & Verma, K. Proc. Indian Acad. Sci. (Math. Sci.) (2006) 116: 59. doi:10.1007/BF02829739 Abstract LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂ^{n} 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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Authors and Affiliations Rasul Shafikov Kaushal Verma 1. Department of Mathematics, Middlesex College University of Western Ontario London USA 2. Department of Mathematics Indian Institute of Science Bangalore India