A class of non-Kähler complex manifolds
type: Item
instance of: scholarly article
title: A class of non-Kähler complex manifolds
zbMATH Open document ID: 0652.14018
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 14E25
zbMATH DE Number: 4063260
zbMATH Keywords: non-Kähler compact complex manifold
zbMATH Keywords: Inoue-Hirzebruch surfaces
zbMATH Keywords: torus embeddings
zbMATH Keywords: Kodaira dimension
author: G. K. Sankaran
reviewed by: G. K. Sankaran
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227867
OpenAlex ID: W2036730365
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DOI: 10.2748/TMJ/1178227867
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description: scientific article; zbMATH DE number 4063260