The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds
type: Item
instance of: scholarly article
title: The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds
zbMATH Open document ID: 0738.32008
DOI: 10.1007/BF01232018
published in: Inventiones Mathematicae
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/144012
review text: The author proves the following conjecture of P. Griffiths: Theorem. Let \(X\) be a compact Kähler manifold. Then any meromorphic map from a domain in a Stein manifold into \(X\) extends to a meromorphic map from the envelope of holomorphy of this domain into \(X\). The proof uses results about limits of sequences of analytic disks of bounded area and existence of Stein neighborhoods of such limits. An application to the covering manifolds of compact Kähler manifolds is given.
Mathematics Subject Classification ID: 32D15
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32E10
zbMATH DE Number: 4216139
zbMATH Keywords: compact Kähler manifold
zbMATH Keywords: Stein manifold
zbMATH Keywords: limits of sequences of analytic disks
zbMATH Keywords: existence of Stein neighborhoods
zbMATH Keywords: covering manifolds
zbMATH Keywords: extension of meromorphic maps
author: S. Ivashkovich
reviewed by: S. Ivashkovich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4216139