Extension of positive line bundles and meromorphic maps
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Publication:2548002
DOI10.1007/BF01405087zbMath0223.32017MaRDI QIDQ2548002
Publication date: 1972
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142134
Continuation of analytic objects in several complex variables (32D15) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Plurisubharmonic functions and generalizations (32U05)
Related Items (31)
Locally conformally Kähler metrics on certain non-Kählerian surfaces ⋮ Holomorphic sections of line bundles over (H,C)-groups ⋮ Extension theorems for reductive group actions on compact Kaehler manifolds ⋮ The role of the gradient term of the Bochner-Kodaira formula in coherent sheaf extension ⋮ Kähler geometry of Douady spaces ⋮ Cohomological barriers to the extension of holomorphic line bundles ⋮ Ein Fortsetzungssatz für plurisubharmonische Funktionen über reell-2- kodimensionale Flächen ⋮ The Thullen type extension theorem for holomorphic vector bundles with \(L^ 2\)-bounds on curvature ⋮ Unnamed Item ⋮ Nevanlinna defect relations for singular divisors ⋮ Nonalgebraic compactifications of quotients of the cylinder ⋮ Pseudoconvexity in the theory of complex spaces ⋮ A Thullen type extension theorem for positive holomorphic vector bundles ⋮ Extension theorems for reductive group actions on compact Kaehler manifolds ⋮ Intrinsic distances, measures and geometric function theory ⋮ Positivity of relative canonical bundles and applications ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ Extension theorems for Kähler metrics ⋮ Meromorphic extension of holomorphic functions with growth conditions ⋮ Extension theorems for reductive group actions on compact Kähler manifolds ⋮ Kählerian normal complex surfaces ⋮ Relations between removable singularity sets for plurisubharmonic functions and positive, closed (1,1)-currents ⋮ Compact quotients of large domains in complex projective space ⋮ Removal on singularities of plurisubharmonic functions ⋮ Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces) ⋮ A theorem on bimeromorphic maps of Kaehler manifolds and its applications ⋮ The Oka-Grauert principle for the extension of holomorphic line bundles with integrable curvature ⋮ On a problem of Chirka ⋮ Quelques problèmes de prolongement de courants en analyse complexe ⋮ Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps ⋮ Three structure theorems in several complex variables
Cites Work
- Plurisubharmonische Funktionen in komplexen Räumen
- Conditions for the analyticity of certain sets
- On the removal of singularities of analytic sets
- Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
- Two theorems on extensions of holomorphic mappings
- Riemannsche Hebbarkeitssätze für Cohomologieklassen
- Cohomologie non abélienne et espaces fibrés
- Extension of positive holomorphic line bundles
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