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# Regularity of CR mappings between algebraic hypersurfaces

@inproceedings{Baouendi1996RegularityOC, title={Regularity of CR mappings between algebraic hypersurfaces}, author={M. Salah Baouendi and Xiaojun Huang and Linda Preiss Rothschild}, year={1996} }

- Published 1996

Let M and M ′ be real analytic hypersurfaces in CN and CN ′ respectively and H :M → M ′ a su ciently smooth CR mapping. Under what conditions does H extend holomorphically to a neighborhood of M in CN ? In this paper we prove that if M and M ′ are algebraic hypersurfaces in CN ; i.e. both de ned by the vanishing of real polynomials, then any su ciently smooth CR mapping with Jacobian not identically zero extends holomorphically provided the hypersurfaces are holomorphically nondegenerate (see… CONTINUE READING