Integral hypersurfaces and holomorphic manifolds
type: Item
instance of: scholarly article
title: Integral hypersurfaces and holomorphic manifolds
zbMATH Open document ID: 0762.32018
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74961
review text: Soit \(\omega\) un germe en \(0\in\mathbb{C}^ n\) de 1-forme différentielle holomorphe, satisfaisant la condition d'intégrabilité \(\omega\wedge d\omega=0\) et non dicritique, i.e. sur toute surface \(Z\) non intégrale de \(\omega\), on ne peut tracer, au voisinage de 0, qu'un nombre fini de germes de courbes analytiques \((\Gamma_ i,P_ i)\), intégrales de \(\omega\), avec \(P_ i\in Z\cap\text{Sing} \omega\). Alors \(\omega\) possède un germe d'hypersurface analytique intégrale.
Mathematics Subject Classification ID: 32S40
Mathematics Subject Classification ID: 32C38
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 32B99
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 118263
zbMATH Keywords: integrability
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: holomorphic differential 1-form
zbMATH Keywords: integral analytic hypersurface germ
author: Felipe Cano
author: Jean-François Mattei
MaRDI profile type: Publication
OpenAlex ID: W2334012144
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DOI: 10.5802/AIF.1286
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118263