A Classification of Homogeneous Kȁhler Manifolds with Discrete Isotropy and Top Non Vanishing Homology in Codimension Two

Abstract

Suppose G is a connected complex Lie group and ���� is a discrete subgroup such that X := G=���� is K ahler and the codimension of the top non{vanishing homology group of X with coe cients in Z2 is less than or equal to two. We show that G is solvable and a nite covering of X is biholomorphic to a product C A, where C is a Cousin group and A is feg, C, C , or C C .