Some problems related to the Levi problem for Riemann domains over Stein spaces

ABSTRACT

We consider a more general form of the Levi problem for Stein spaces, namely the Levi problem for unbranched Riemann domains spread over Stein spaces. We raise four problems related to this generalization and remark that in this case the $L^2$ methods cannot be applied.

COMMUNICATED BY:

• J. Leiterer

KEYWORDS:

• Stein space
• Levi problem
• Riemann unbranched domain
• envelope of holomorphy

AMS SUBJECT CLASSIFICATIONS:

• 32C55
• 32E10
• 32D10

Disclosure statement

No potential conflict of interest was reported by the authors.