A class of non-Kähler complex manifolds (Q1106906)
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scientific article; zbMATH DE number 4063260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of non-Kähler complex manifolds |
scientific article; zbMATH DE number 4063260 |
Statements
A class of non-Kähler complex manifolds (English)
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1989
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A class of non-Kähler compact complex manifolds is constructed, including the Inoue-Hirzebruch surfaces as the dimension 2 case and extending work of \textit{H. Tsuchihashi} [Tôhoku Math. J., II. Ser. 39, 519-532 (1987; Zbl 0635.32016)] and the author [Math. Ann. 276, 515-528 (1987; Zbl 0595.14031)]. The construction uses the theory of torus embeddings and is explicit enough to allow one to compute the Kodaira dimension (which is \(-\infty)\), the algebraic dimension and all the Hodge and Betti numbers.
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non-Kähler compact complex manifold
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Inoue-Hirzebruch surfaces
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torus embeddings
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Kodaira dimension
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0.9645724
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0.9632914
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0.9405633
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0.93966603
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0.93301445
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