\(n\)-concavity of \(n\)-dimensional complex spaces
type: Item
instance of: scholarly article
title: \(n\)-concavity of \(n\)-dimensional complex spaces
zbMATH Open document ID: 0735.32012
DOI: 10.1007/BF02571792
published in: Mathematische Zeitschrift
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174397
review text: 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.
Mathematics Subject Classification ID: 32F10
zbMATH DE Number: 4215920
zbMATH Keywords: irreducible n-dimensional complex space
zbMATH Keywords: n-concavity
author: Mihnea Colţoiu
reviewed by: Mihnea Colţoiu
MaRDI profile type: Publication
cites work: Théorèmes de finitude pour la cohomologie des espaces complexes
cites work: Cohomology of q-convex spaces in top degrees
cites work: Smoothing q-convex functions and vanishing theorems
cites work: Smoothing q-convex functions in the singular case
cites work: Spreading Polydiscs on Complex Manifolds
cites work: Embedding of open Riemannian manifolds by harmonic functions
cites work: Completeness of noncompact analytic spaces
cites work: Continuous \(q\)-convex exhaustion functions
OpenAlex ID: W2152525927
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description: scientific article; zbMATH DE number 4215920