A class of non-Kähler complex manifolds
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.
scientific article; zbMATH DE number 4063260
scientific article