An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings
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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.
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