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\(n\)-concavity of \(n\)-dimensional complex spaces. (English) Zbl 0735.32012

It is shown that any irreducible \(n\)-dimensional complex space is strongly \(n\)-concave. The proof is based on a theorem of Diederich and Fornaess about the approximation of \(q\)-convex functions with corners and on some results of Fornaess and Stout on the coverings of complex manifolds with finitely many polydiscs.
Reviewer: M.Colţoiu

MSC:

32F10 \(q\)-convexity, \(q\)-concavity

References:

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