A domain whose envelope of holomorphy is not a domain

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

Edgar Lee Stout Annales Polonici Mathematici 89 (2006), 197-201 MSC: Primary 32D10. DOI: 10.4064/ap89-2-7

We construct a domain of holomorphy in $\mathbb C^N$ , $N\geq 2$ , whose envelope of holomorphy is not diffeomorphic to a domain in $\mathbb C^N$ .