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A domain whose envelope of holomorphy is not a domain. (English) Zbl 1109.32008

The author presents a beautiful example of a domain \(\Omega\subset\mathbb C^N\), \(N\geq2\), whose envelope of holomorphy \(\Omega^\ast\) (understood as a Riemann domain \(\pi:\Omega^\ast\to\mathbb C^N\) spread over \(\mathbb C^N\)) is not biholomorphic to a domain in \(\mathbb C^N\).

MSC:

32D10 Envelopes of holomorphy
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