A generalization of Sankaran and LVMB manifolds
  In this paper we describe the construction of a new class of non-K\"ahler 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. 
Laurent Battisti and Karl Oeljeklaus
math.CV math.AG