An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings |
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Authors: | Nordine Mir |
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Affiliation: | (1) Université de Rouen, UPRES-A CNRS 6085, Département de mathématiques, Site Colbert, F-76821 Mont Saint Aignan Cedex, France (e-mail : mir@ams.univ-rouen.fr) , FR |
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Abstract: | We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in , . 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. Received September 19, 1997 |
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Keywords: | Mathematics Subject Classification (1991):32F40 32H40 32J20 32C16 |
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