Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
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Publication:1907199
DOI10.1007/BF01460997zbMath0843.32018OpenAlexW2024955498MaRDI QIDQ1907199
Publication date: 21 August 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165374
Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Spectral theory; eigenvalue problems on manifolds (58C40)
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Cites Work
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- On the extension of \(L^ 2\) holomorphic functions
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Decomposition theorem for proper Kähler morphisms
- Vanishing theorems on complete Kähler manifolds
- Relative vanishing theorems in analytic spaces
- Vanishing theorems on complex manifolds
- Torsion freeness of higher direct images of canonical bundles
- Hodge filtrations and the higher direct images of canonical sheaves
- Pluricanonical systems on minimal algebraic varieties
- Higher direct images of dualizing sheaves. I
- Higher direct images of dualizing sheaves. II
- A note on Kollár's theorem
- Kähler spaces and proper open morphisms
- Hodge spectral sequence on pseudoconvex domains
- On the extension of L 2 holomorphic functions. II
- Vector bundles on complex projective spaces
- Complex parallelisable manifolds and their small deformations
- On the blowing down of analytic spaces
- Complex analytic geometry
- Closedness of the Douady spaces of compact Kähler spaces
- On strongly pseudo-convex Kaehler manifolds
- On deformations of complex analytic structures. III: Stability theorems for complex structures
- Carleman estimates for the Laplace-Beltrami equation on complex manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
- The currents defined by analytic varieties
- On the inverse of monoidal transformation
- On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
- Flattening Theorem in Complex-Analytic Geometry
- Morphismes surjectifs de fibrés vectoriels semi-positifs
- On Serre Duality and Envelopes of Holomorphy
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Energy estimates and Liouville theorems for harmonic maps
- Mixed Hodge modules
