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      Permanent link:
      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

       

      Rasul Shafikov1 Kaushal Verma2

      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
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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