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The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds. (English) Zbl 0738.32008
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.
Reviewer: S.Ivashkovich

32D15 Continuation of analytic objects in several complex variables
53C55 Global differential geometry of Hermitian and Kählerian manifolds
32E10 Stein spaces
Full Text: DOI EuDML
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