A GENERALIZATION OF SANKARAN AND LVMB MANIFOLDS.

Laurent Battisti (1) , Karl Oeljeklaus (1)

1 I2M - Institut de Mathématiques de Marseille

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

Mots clés: number fields; non-Kähler compact complex manifolds; number fields.

Domaines: Variables complexes [math.CV]

Laurent Battisti, Karl Oeljeklaus. A GENERALIZATION OF SANKARAN AND LVMB MANIFOLDS.. The Michigan Mathematical Journal, 2015, 64 (01), pp.203-222. ⟨10.1307/mmj/1427203291⟩. ⟨hal-01066301⟩