On embeddable 1-convex spaces. (English) Zbl 0982.32010

Vâjâitu, Viorel

Osaka J. Math. 38, No. 2, 287-294 (2001).

In this short article, the author gives various interesting results and examples on the following question: “Is a 1-convex space of bounded Zariski dimension embeddable in \(\mathbb{C}^n\times \mathbb{P}_n\) for some \(n\)?”
Special attention is given to the (necessary) Kähler condition.

Reviewer: Daniel Barlet (Vandœuvre-les-Nancy)

MSC:

32C22	Embedding of analytic spaces
32F10	\(q\)-convexity, \(q\)-concavity
32H02	Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables

Keywords:

embeddable 1-convex spaces; Kähler condition