On a curvature property of effective divisors and its application to sheaf cohomology

DOI10.2977/prims/1260476652zbMath1190.32009OpenAlexW1998676631MaRDI QIDQ847656

Takeo Ohsawa, Hiroshi Fuse

Publication date: 19 February 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1260476652

zbMATH Keywords

\(q\)-concave bundlesasymptotic vanishing theorem

Mathematics Subject Classification ID

Vanishing theorems (32L20) Analytical consequences of geometric convexity (vanishing theorems, etc.) (32F32) Bundle convexity (32L15)

Related Items (3)

Nonexistence of certain Levi flat hypersurfaces in Kähler manifolds from the viewpoint of positive normal bundles ⋮ On the complement of effective divisors with semipositive normal bundle ⋮ Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

Cites Work

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• Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
• Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
• Completeness of noncompact analytic spaces
• Vanishing theorems on complete Kähler manifolds
• Cohomology of q-convex spaces in top degrees
• Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Analytic Sheaf Cohomology Groups of Dimension n of n-Dimensional Complex Spaces

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