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

An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

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

Mathematische Zeitschrift , Volume 231 (1) – May 1, 1999

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References (28)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Springer-Verlag Berlin Heidelberg
Subject
Legacy
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/PL00004723
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Mathematische ZeitschriftSpringer Journals

Published: May 1, 1999

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