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We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in $\mathcal{C}^{N+1}$ , $N\geq 1$ . 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.
Mathematische Zeitschrift – Springer Journals
Published: May 1, 1999
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