Addendum to: A Reduction Theorem for Cohomology Groups of Very Strongly q-Convex Kähler Manifolds.
Takeo Ohsawa (1982)
Inventiones mathematicae
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Takeo Ohsawa (1982)
Inventiones mathematicae
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Claude LeBrun, Simon Salamon (1994)
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Reese Harvey, H. Jr. Blaine Lawson (1983)
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D. Kotschick (2012)
Annales de l’institut Fourier
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We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or .
Akira Fujiki (1978)
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M. Levine (1983)
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G. Tian (1987)
Inventiones mathematicae
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Takeo Ohsawa (2012)
Annales Polonici Mathematici
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Given a locally pseudoconvex bounded domain Ω, in a complex manifold M, the Hartogs type extension theorem is said to hold on Ω if there exists an arbitrarily large compact subset K of Ω such that every holomorphic function on Ω-K is extendible to a holomorphic function on Ω. It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is compact...
Thomas Peternell (1982/83)
Inventiones mathematicae
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