A class of non-Kähler complex manifolds. (English) Zbl 0652.14018
A class of non-Kähler compact complex manifolds is constructed, including the Inoue-Hirzebruch surfaces as the dimension 2 case and extending work of 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.
Reviewer: G.K.Sankaran
Keywords:
non-Kähler compact complex manifold; Inoue-Hirzebruch surfaces; torus embeddings; Kodaira dimensionReferences:
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