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

Date
2013-07
Authors
Ahmadi, Seyedruhallah
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Publisher
Faculty of Graduate Studies and Research, University of Regina
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 .

Description
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mathematics, University of Regina. vii, 101 l.
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