Kodaira vanishing theorem and Chern classes for \(\partial\)-manifolds
From MaRDI portal
Publication:1139171
DOI10.3792/pjaa.54.107zbMath0433.32013OpenAlexW2053240773MaRDI QIDQ1139171
Publication date: 1978
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.54.107
Euler characteristicChern classesvanishing theoremcompact complex manifoldsheaf of logarithmic p-forms
Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20)
Related Items
Unnamed Item ⋮ A note on base point free theorem ⋮ Injectivity theorems on compact complex manifolds ⋮ Classification of logarithmic Fano 3-folds ⋮ On the simultaneous generation of jets of the adjoint bundles ⋮ Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies ⋮ On cohomology vanishing with polynomial growth on complex manifolds with pseudoconvex boundary ⋮ A Kawamata-Viehweg type formulation of the logarithmic Akizuki-Nakano vanishing theorem ⋮ A generalization of Kodaira-Ramanujam's vanishing theorem ⋮ Residue formulas for logarithmic foliations and applications ⋮ Semistability of Logarithmic Cotangent Bundle on Some Projective Manifolds ⋮ An \(L^2\) Dolbeault lemma and its applications to vanishing theorems ⋮ On base point free theorem ⋮ On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds ⋮ Vanishing theorems for Dolbeault cohomology of log homogeneous varieties ⋮ The maximum likelihood degree of a very affine variety ⋮ Ample vector bundles on open algebraic varieties
Cites Work
