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 .