A characteristic property of injective holomorphic germs
type: Item
instance of: scholarly article
title: A characteristic property of injective holomorphic germs
zbMATH Open document ID: 1122.58009
published in: Monatshefte für Mathematik
publication date: 2007-05-31T00:00:00Z
review text: In this paper the author studies so called pseudoimmersive germs of complex maps. The main result shows that a holomorphic germ is pseudoimmersive if and only if it is injective. This result is connected to other papers of the author joint with \textit{H. Joris} [Arch. Math. 39, 269--277 (1982; Zbl 0504.58007), Ann. Inst. Fourier 37, 195--221 (1987; Zbl 0596.58004), C. R. Acad. Sci. Paris 305, 261--263 (1987; Zbl 0655.57024), Kodai Math. J. 13, 241--264 (1990; Zbl 0729.58011]. Some results about the real case are also considered.
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 57R42
Mathematics Subject Classification ID: 32B15
zbMATH DE Number: 5159772
zbMATH Keywords: conditions of differentiability
Wikidata QID: Q114228838
author: Emmanuel Preissmann
reviewed by: Dorin Andrica
MaRDI profile type: Publication
full work available at URL: s00605-006-0436-2
OpenAlex ID: W2017886970
cites work: On Joris' theorem on differentiability of functions
cites work: Une \(C^\infty\)-application non-immersive qui possède la propriété universelle des immersions
cites work: Q3802273
cites work: Quotients of smooth functions
cites work: Introduction to the theory of analytic spaces
DOI: 10.1007/S00605-006-0436-2
description: scientific article; zbMATH DE number 5159772