Cohomology and extension problems for semi \(q\)-coronae

DOI10.1007/s00209-006-0097-9zbMath1118.32010arXivmath/0503490OpenAlexW2091092610MaRDI QIDQ884967

Giuseppe Tomassini, Alberto Saracco

Publication date: 7 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0503490

zbMATH Keywords

cohomologycoherent sheaf\(q\)-pseudoconcave\(q\)-pseudoconvexsemi \(q\)-corona

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

Cohomology of semi 1-coronae and extension of analytic subsets ⋮ Cohomology and removable subsets ⋮ SEMIGLOBAL EXTENSION OF MAXIMALLY COMPLEX SUBMANIFOLDS

Cites Work

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• Extension of CR-forms and related problems
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• An extension theorem for the CR-functions
• A theorem on holomorphic extension of CR-functions
• Extension d'objets CR. (Extension of CR objects)
• Sur l'extension des fonctions CR dans une variété de Stein. (On the extension of CR functions in Stein manifolds)
• On boundaries of complex analytic varieties. I
• Analytic extension from non-pseudoconvex boundaries and \(A(D)\)-convexity.
• Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds
• Gap-sheaves and extension of coherent analytic subsheaves
• Envelope of holomorphy of pseudoconcave spaces)
• Théorèmes de finitude pour la cohomologie des espaces complexes
• NON-COMPACT BOUNDARIES OF COMPLEX ANALYTIC VARIETIES
• Prolongement de faisceaux analytiques cohérents
• Prolongement de faisceaux analytiques cohérents