On Serre duality

DOI10.1016/S0007-4497(00)00126-3zbMath0951.32006OpenAlexW1967020543MaRDI QIDQ1972898

Christine Laurent-Thiébaut, Jürgen Leiterer

Publication date: 13 December 2000

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(00)00126-3

zbMATH Keywords

Fréchet spacesholomorphic vector bundleSerre dualityAndreotti-Grauert theoryAndreotti-Vesentini separation theoremseparation criterion for the compactly supported Dolbeault cohomology

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Holomorphic bundles and generalizations (32L05) Duality theorems for analytic spaces (32C37)

Related Items (11)

Non-closed Range Property for the Cauchy-Riemann Operator ⋮ On the Hausdorff property of some Dolbeault cohomology groups ⋮ Hearing pseudoconvexity in Lipschitz domains with holes via \({\bar{\partial }}\) ⋮ On the separation of the cohomology of universal coverings of 1-convex surfaces ⋮ On the Sobolev Dolbeault cohomology of a domain with pseudoconcave boundaries ⋮ \(L^p\)-theory and Serre duality for the tangential Cauchy-Riemann equation ⋮ SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE ⋮ On the compactification of concave ends ⋮ A separation theorem and Serre duality for the Dolbeault cohomology ⋮ Two separation theorems of Andreotti-Vesentini type ⋮ $L^{2}$ Serre duality on domains in complex manifolds and applications

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