Finite jet determination for biholomorphisms of real-analytic hypersurfaces in \(\mathbb C^N\)
type: Item
instance of: scholarly article
title: Finite jet determination for biholomorphisms of real-analytic hypersurfaces in \(\mathbb C^N\)
zbMATH Open document ID: 1090.32023
author: Gabriela Putinar
published in: Tsukuba Journal of Mathematics
publication date: 2006-03-28T00:00:00Z
review text: The author extends to CR hypersurfaces \(M\) of arbitrary dimension a result originally proved by \textit{P. Ebenfelt, B. Lamel} and \textit{D. Zaitsev} [Geom. Funct. Anal. 13, No. 3, 546--573 (2003; Zbl 1032.32025)] for the case of CR hypersurfaces of real dimension 3. She proves that under some finiteness assumption on \(M\), that in the 3-dimensional case reduces to the situation considered in the cited paper, local biholomorphisms are completely determined by their finite \(k\)-jets; in the finite type case this \(k\) can be taken equal to \(2\).
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 5015599
zbMATH Keywords: CR manifold
zbMATH Keywords: real-analytic hypersurface
zbMATH Keywords: stability group
zbMATH Keywords: jet determination
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496164897
OpenAlex ID: W587304985
DOI: 10.21099/TKBJM/1496164897
description: scientific article; zbMATH DE number 5015599