A generalization of Sankaran and LVMB manifolds

preprint2014arXivOpen access

Abstract

In this paper we describe the construction of a new class of non-Kähler compact complex manifolds. They can be seen as a generalization of Sankaran, OT and LVMB manifolds. Moreover, we give properties of these new spaces. Their Kodaira dimension is −∞-\infty and under a mild condition they have algebraic dimension equal to zero.

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