An extension of coherent sheaves defined outside holomorphically convex compact sets

DOI10.1007/s10231-011-0202-5zbMath1264.32011OpenAlexW2044819220MaRDI QIDQ1927677

Viorel Vâjâitu

Publication date: 2 January 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0202-5

zbMATH Keywords

coherent sheafholomorphically convex compact set1-convex spaceRemmert reductioncoherent extension

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (q)-convexity, (q)-concavity (32F10) Stein spaces (32E10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphically convex complex spaces, reduction theory (32E05)

Cites Work

• Invariance of cohomological \(q\)-completeness under finite holomorphic surjections
• Some convexity properties of morphisms of complex spaces
• The Levi problem for complex spaces. II
• Abgeschlossenheit von Corandmoduln und Fortsetzbarkeit kohärenter analytischer Garben
• Ein Kontinuitätssatz für die Fortsetzung kohärenter analytischer Garben
• Gap-sheaves and extension of coherent analytic subsheaves
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves
• Prolongement de faisceaux analytiques cohérents
• Prolongement de faisceaux analytiques cohérents
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