An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings
type: Item
instance of: scholarly article
title: An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings
zbMATH Open document ID: 0930.32020
DOI: 10.1007/PL00004723
author: Nordine Mir
published in: Mathematische Zeitschrift
publication date: 2000-02-09T00:00:00Z
review text: We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in \(\mathbb{C}^{N+1}\), \(N\geq 1\). 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.
reviewed by: Nordine Mir
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32H40
Mathematics Subject Classification ID: 32J99
Mathematics Subject Classification ID: 32V99
zbMATH DE Number: 1336849
zbMATH Keywords: embedded real algebraic hypersurfaces in \(\mathbb{C}^{N+1}\)
zbMATH Keywords: holomorphic nondegeneracy
zbMATH Keywords: real analyticity of smooth CR mappings
MaRDI profile type: Publication
full work available at URL: pl00004723
OpenAlex ID: W2104830161
description: scientific article; zbMATH DE number 1336849