n371156SE Academic Article uri icon


  • We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in N+1, N 1. We then use this criterion to prove the following result about real analyticity of smooth CR mappings : any smooth CR mapping H between a real analytic hypersurface and a rigid polynomial holomorphically nondegenerate hypersurface is real analytic, provided the map H is not totally degenerate in the sense of Baouendi and Rothschild.

published proceedings

  • Mathematische Zeitschrift

author list (cited authors)

  • Mir, N.

publication date

  • January 1, 1999 11:11 AM