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

##### 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