Holomorphic convexity of spaces of analytic cycles

DOI10.24033/bsmf.1849zbMath0382.32010OpenAlexW2560923937MaRDI QIDQ4161574

François Norguet, Yum-Tong Siu

Publication date: 1977

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1977__105__191_0

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Stein spaces (32E10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (16)

Correnti positive: Uno strumento per l’analisi globale su varietà complesse ⋮ Forms and currents defining generalized \(p\)-Kähler structures ⋮ On the existence of nontrivial 3-folds with vanishing Hodge cohomology ⋮ Hessian of the natural Hermitian form on twistor spaces ⋮ Extension of analytic covers by extension of their ramification divisors ⋮ Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles ⋮ Traces of Runge domains on analytic subsets ⋮ Levi problem: complement of a closed subspace in a Stein space and its applications ⋮ Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights ⋮ Unnamed Item ⋮ Threefolds with vanishing Hodge cohomology ⋮ Convexité de l'espace des cycles ⋮ The Levi problem on complex spaces with singularities ⋮ A new proof of a theorem of Grauert and Remmert by \(L_ 2\)-methods ⋮ Supplement to 'Weakly 1-complete manifold and Levi problem' ⋮ 1-convex manifolds are \(p\)-Kähler

Cites Work

• Überlagerungen holomorph-vollständiger komplexer Räume
• The Levi problem for complex spaces
• Riemannsche Hebbarkeitssätze für Cohomologieklassen mit kompaktem Träger
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Analytic Sheaf Cohomology Groups of Dimension n of n-Dimensional Complex Spaces
• Remarques sur la cohomologie des variétés analytiques complexes
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