On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
J. Scherk, J.H.M. Steenbrink (1985)
Mathematische Annalen
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Displaying similar documents to “Duality of Hodge numbers of compact complex nilmanifolds”
On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
L2 and intersection cohomologies for a polarizable Variation of Hodge structure.
E. Cattani, A. Kaplan, W. Schmid (1987)
Inventiones mathematicae
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Pole order filtration on the cohomology of algebraic links
Yakov Karpishpan (1991)
Compositio Mathematica
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Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.
Huber, Annette, Wildeshaus, Jörg (1998)
Documenta Mathematica
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Projectivity of Kähler manifolds – Kodaira’s problem
Daniel Huybrechts (2005-2006)
Séminaire Bourbaki
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Every compact Kähler surface is deformation equivalent to a projective surface. In particular, topologically Kähler surfaces and projective surfaces cannot be distinguished. Kodaira had asked whether this continues to hold in higher dimensions. We explain the construction of a series of counter-examples due to C. Voisin, which yields compact Kähler manifolds of dimension at least four whose rational homotopy type is not realized by any projective manifold.
On the mixed Hodge structure associated to of a simply connected complex projective manifold
J. Carlson, H. Clemens, J. Morgan (1981)
Annales scientifiques de l'École Normale Supérieure
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The Hodge theory of algebraic maps
Mark Andrea A. de Cataldo, Luca Migliorini (2005)
Annales scientifiques de l'École Normale Supérieure
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Mixed Hodge structures on the intersection cohomology of links
Alan H. Durfee, Morihiko Saito (1990)
Compositio Mathematica
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Hodge theory for twisted differentials
Daniele Angella, Hisashi Kasuya (2014)
Complex Manifolds
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We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
Sur la theorie de Hodge-Deligne.
V. Navarro Aznar (1987)
Inventiones mathematicae
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