Relativexzeptionelle analytische Mengen. (Relative exceptional analytical sets.)

DOI10.1007/BF02052395zbMath0222.32008MaRDI QIDQ2547646

Michael Schneider, Knut Knorr

Publication date: 1971

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182724

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (q)-convexity, (q)-concavity (32F10) Analytic subsets and submanifolds (32C25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (25)

Holomorphic convexity of pseudoconvex spaces in terms of the rank of structural sheaf ⋮ Local moduli for strictly pseudoconvex spaces ⋮ On the relative pseudo-rigidity ⋮ Positivity notions for coherent sheaves over compact complex spaces ⋮ Pseudoconvexity in the theory of complex spaces ⋮ Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen. (Vector bundles in the neighborhood of compact complex subspaces) ⋮ Some properties of positive line bundles on 1-convex complex analytic spaces ⋮ Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen ⋮ Weakly 1-complete manifold and Levi problem ⋮ Relative komplexe Quotienten ⋮ Faisceaux Amples sur les Espaces Analytiques ⋮ Bemerkungen zur Deformationstheorie nichtrationaler Singularitäten ⋮ On the blowing down of analytic spaces ⋮ Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex/konkavem Normalenbündel. (A vanishing theorem for certain cohomology groups in the neighborhood of compact complex subspaces with convex/concave normal bundle) ⋮ Familien negativer Vektorraumbündel und 1-konvexe Abbildungen ⋮ Application of $L^2$ methods to the Levi problem on complex manifolds ⋮ Halbstetigkeitssätze für 1-konvexe holomorphe Abbildungen ⋮ Deformierbare Singularitäten. (Deformable singularities) ⋮ Vanishing theorems for constructible sheaves. II ⋮ On strongly pseudo-convex Kaehler manifolds ⋮ A coherency theorem for direct images with proper supports in the case of a 1-convex map ⋮ Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen. II ⋮ Complex analytic cones ⋮ Über exzeptionelle Mengen ⋮ Relative vanishing theorems in analytic spaces

Cites Work

• The Levi problem for complex spaces
• The Levi problem for complex spaces. II
• Über Quotienten holomorph-konvexer komplexer Räume
• Über Modifikationen und exzeptionelle analytische Mengen
• Théorèmes de finitude pour la cohomologie des espaces complexes
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