Some open problems on the envelope of holomorphy

Key Points

• This paper aims to present and explore open questions related to the envelope of holomorphy and the schlichtness phenomenon.
• Identification of new open problems in holomorphy theory.
• Focus on the class of truncated tube domains.
• Discussion of the implications of these problems for future research.
• Highlighting gaps in current understanding of holomorphy.
• Emphasizing the need for further research on truncated tube domains.