Smoothing q-convex functions in the singular case

DOI10.1007/BF01472137zbMath0586.32023OpenAlexW2066387698MaRDI QIDQ1071906

Klas Diederich, John-Erik Fornaess

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164079

zbMATH Keywords

vanishing theoremsq-convexity with corners

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Vanishing theorems (32L20)

Related Items (10)

Analytic cohomology groups in top degrees of Zariski open sets in \({\mathbb{P}^n}\) ⋮ Vanishing theorems for the intersection homology of Stein spaces ⋮ Algebraic varieties and \(q\)-complete complex spaces. ⋮ A generalization of the \(q\)-convex case of a theorem of Fornæss and Narasimhan ⋮ Homology and cohomology with compact supports for \(q\)-convex spaces ⋮ Local \(q\)-completeness of complements of smooth CR-manifolds ⋮ A Levi problem for convexity with corners ⋮ A Levi problem for discontinuous strictlyq-plurisubharmonic functions ⋮ The analyticity of \(q\)-concave sets of locally finite \((2n-2q)\)-dimensional Hausdorff measure ⋮ \(n\)-concavity of \(n\)-dimensional complex spaces

Cites Work

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• Smoothing q-convex functions and vanishing theorems
• Stetige streng pseudokonvexe Funktionen
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Complex subspaces of homogeneous complex manifolds II—Homotopy Results
• Über lokale Kohomologiegruppen hoher Ordnung.
• On the Homotopy Groups of Complex Projective Algebraic Manifolds.

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