Aneurysms of pseudoconcave CR manifolds.
C. Denson Hill, Mauro Nacinovich (1995)
Mathematische Zeitschrift
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C. Denson Hill, Mauro Nacinovich (1995)
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M. Verbitsky (1996)
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Grzegorz Andrzejczak
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CONTENTSIntroduction.........................................................................5I. Semi-simplicial morphisms and topology..........................7II. Foliated ss-manifolds and sheaf cohomology................13III. Sheaf cohomology of ss-manifolds...............................32References.......................................................................55
Takumi Yamada (2015)
Complex Manifolds
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A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
J. Scherk, J.H.M. Steenbrink (1985)
Mathematische Annalen
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E. Cattani, A. Kaplan, W. Schmid (1987)
Inventiones mathematicae
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Huber, Annette, Wildeshaus, Jörg (1998)
Documenta Mathematica
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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.
Francesco Costantino (2005)
Fundamenta Mathematicae
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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
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P. H. Doyle (1974)
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