Duality of mixed Hodge structures of algebraic varieties

DOI10.2977/prims/1195186924zbMath0475.14006OpenAlexW2051522763MaRDI QIDQ1159726

Akira Fujiki

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195186924

zbMATH Keywords

dualityresiduesKaehler manifoldFary spectral sequenceGysin mapsmixed Hodge structures on complex analytic spaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Duality theorems for analytic spaces (32C37)

Related Items (20)

Spectral pairs, Alexander modules, and boundary manifolds ⋮ Cohomology of contact loci ⋮ Green forms and their product. ⋮ PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES ⋮ Hodge numbers of hypersurfaces ⋮ Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory) ⋮ On generalizations of the Albanese variety ⋮ Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I ⋮ Unnamed Item ⋮ Height pairing on higher cycles and mixed Hodge structures ⋮ Fixed points of the actions on compact Kähler manifolds ⋮ Representations on the cohomology of hypersurfaces and mirror symmetry ⋮ Hodge numbers of Landau-Ginzburg models ⋮ Higher Chow groups and the Hodge-\({\mathcal D}\)-conjecture ⋮ Unnamed Item ⋮ Mixed Hodge structures on the homotopy of links ⋮ A description of the cohomology of the complement with a non-reducible divisor of \(\mathbb{P}^2\) ⋮ Multivariable Alexander invariants of hypersurface complements ⋮ Mixed Hodges structures on punctured neighborhoods ⋮ MIXED HODGE STRUCTURES WITH MODULUS

Cites Work

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• Un théorème de dualité
• Fixed points of the actions on compact Kähler manifolds
• Limits of Hodge structures
• Résidus et dualité
• On automorphism groups of compact Kähler manifolds
• Bimeromorphic smoothing of a complex-analytic space
• Closedness of the Douady spaces of compact Kähler spaces
• De Rham cohomology of an analytic space
• Duality and the de Rham cohomology of infinitesimal neighborhoods
• Théorie de Hodge. II. (Hodge theory. II)
• Residues and principal values on complex spaces
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)

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