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An example concerning extension and separate analyticity properties of meromorphic mappings
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 121, Number 1, February 1999
- pp. 97-130
- 10.1353/ajm.1999.0005
- Article
- Additional Information
We construct a compact, complex manifold X of dimension three, such that every meromorphic map from a two-dimensional domain into X extends meromorphically onto the envelope of holomorphy of this domain, but there exists a meromorphic map from the punctured three-dimensional ball into X, which does not extend to the origin. We give a theorem describing the obstructions occuring here.