A generalization of Sankaran and LVMB manifolds

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.

20 pages, 1 figure

References in corpus (1)

• LVMB manifolds and quotients of toric varieties

Cited by in corpus (2)

• The complex geometry of a hypothetical complex structure on $S^6$
• Toric Kato manifolds