Generically strongly \(q\)-convex complex manifolds

DOI10.5802/aif.1866zbMath0996.32004OpenAlexW974114103MaRDI QIDQ5956580

Terrence Napier, Mohan Ramachandran

Publication date: 21 February 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_6_1553_0

zbMATH Keywords

\(q\)-complete\(q\)-convexityanalytic cyclesholomorphically convex

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) The Levi problem (32E40)

Related Items (1)

A cup product lemma for continuous plurisubharmonic functions

Cites Work

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• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• Quelques propriétés fondamentales des ensembles analytiques-réels
• Completeness of noncompact analytic spaces
• On Levi's problem and the imbedding of real-analytic manifolds
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• A Levi problem on two-dimensional complex manifolds
• Vanishing theorems for weakly 1-complete manifolds. II
• Embedding of open Riemannian manifolds by harmonic functions
• The Levi problem on pseudoconvex manifolds which are not strongly pseudoconvex
• Every Stein subvariety admits a Stein neighborhood
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• q-plurisubharmonic functions and a generalized Dirichlet problem
• Pseudoconvex domains with real-analytic boundary
• Pseudoconvex domains: Existence of Stein neighborhoods
• Closedness of the Douady spaces of compact Kähler spaces
• The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds
• Cohomology of q-convex spaces in top degrees
• Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems
• The Levi problem for complex spaces. II
• Conditions for the analyticity of certain sets
• Stetige streng pseudokonvexe Funktionen
• The fiber integral is constant
• Local complex foliation of real submanifolds
• Complete locally pluripolar sets.
• Convexité de l'espace des cycles
• Remarques sur le revêtement universel des variétés kählériennes compactes
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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