Problème du bord dans l'espace projectif complexe. (Boundary problem in the complex projective space.)
type: Item
instance of: scholarly article
title: Problème du bord dans l'espace projectif complexe. (Boundary problem in the complex projective space.)
zbMATH Open document ID: 0916.32011
author: Tien-Cuong Dinh
publication date: 1998-11-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75327
review text: In this paper the author searches for the minimal family of projective \((n-p+1)\)-planes in the Grassmannian \(G(n-p+2,n+1)\) such that the generalized Dolbeault-Henkin theorem yet holds, and gives applications of this new result: the generalized Hartogs-Levi theorem, the CR-meromorphic extension theorem and the generalized Gruman-Molzon-Shiffman-Sibony theorem. The latter corollary gives necessary and sufficient condition for an analytic subset of pure dimension \(p\geq 2\) of \(\mathbb{C}^n\) to be algebraic.
Mathematics Subject Classification ID: 32C25
zbMATH DE Number: 1227219
zbMATH Keywords: Grassmannian
zbMATH Keywords: analytic subsets
zbMATH Keywords: boundary problem
zbMATH Keywords: holomorphic chains
zbMATH Keywords: maximally complex
zbMATH Keywords: rectifiable current
zbMATH Keywords: polynomial hulls
zbMATH Keywords: Riemann surfaces
MaRDI profile type: Publication
OpenAlex ID: W2318168534
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DOI: 10.5802/AIF.1663
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1227219