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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
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