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Publication:3491899
zbMath0709.32009MaRDI QIDQ3491899
Thomas Peternell, Siegmund Kosarew
Publication date: 1990
Full work available at URL: http://www.numdam.org/item?id=CM_1990__74_3_299_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
surfacesprojective manifoldanalytic cohomologyformal cohomologyirreducible divisorsmooth compactificationexistence of meromorphic functions
Analytic sheaves and cohomology groups (32C35) Classical real and complex (co)homology in algebraic geometry (14F25) Meromorphic functions of several complex variables (32A20) Compactification of analytic spaces (32J05)
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Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
- On the neighborhood of a compact complex curve with topologically trivial normal bundle
- Materialization of Poincaré resonances and divergence of normalizing series
- Local cohomology along exceptional sets
- Compactifications of \({\mathbb{C}}\) 3. I
- Surfaces of class \(VII_ 0\) with curves
- 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)
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- Résidus et dualité
- \(q\)-konvexe Restmengen in kompakten komplexen Mannigfaltigkeiten
- The formal Hodge filtration
- Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
- Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Dualité relative en géométrie analytique complexe
- Holomorphic mappings of polydiscs into compact complex manifolds
- Théorèmes de finitude pour la cohomologie des espaces complexes
- Konvergenz formaler komplexer Räume mit konvexem oder konkavem Normalenbündel.
- Ueda theory: theorems and problems
- Modulräume holomorpher Abbildungen auf konkaven komplexen Räumen
- On the Structure of Compact Complex Analytic Surfaces, II
