An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings Academic Article uri icon

abstract

  • We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in ℂN+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.

author list (cited authors)

  • Mir, N.

citation count

  • 2

publication date

  • May 1999