Hodge spectral sequence on pseudoconvex domains
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Publication:1099302
DOI10.1007/BF01161626zbMath0638.32016MaRDI QIDQ1099302
Kensho Takegoshi, Takeo Ohsawa
Publication date: 1988
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/183754
Dolbeault cohomologyde Rham complexHodge spectral sequencepseudoconvex domaincohomologies on Hermitian manifoldsq-convex Kähler manifolds
Global differential geometry of Hermitian and Kählerian manifolds (53C55) (q)-convexity, (q)-concavity (32F10) de Rham cohomology and algebraic geometry (14F40) Pseudoconvex domains (32T99)
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A continuity principle for the Bergman kernel function ⋮ Hodge spectral sequence and symmetry on compact Kähler spaces ⋮ Pseudo-effective line bundles over holomorphically convex manifolds ⋮ An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type ⋮ Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms ⋮ Unnamed Item ⋮ On the bergman kernel of hyperconvex domains ⋮ A note on the Bogomolov-type smoothness on deformations of the regular parts of isolated singularities ⋮ On the infinite dimensionality of the middle \(L^ 2\) cohomology of complex domains ⋮ (k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS ⋮ Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights ⋮ A survey on the \(L^2\) extension theorems ⋮ On the Complement of Levi-Flats in Kähler Manifolds of Dimension ≥ 3 ⋮ On the \(L^2\)-cohomology of negatively curved manifolds ⋮ A Survey on Levi Flat Hypersurfaces ⋮ Cohomology of q-convex spaces in top degrees
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