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Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties

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Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.

Author(s): Yukitaka Abe, Klaus Kopfermann (eds.)
Series: Lecture Notes in Mathematics 1759
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2001

Language: English
Pages: 142
Tags: Topological Groups, Lie Groups; Analysis; Algebraic Geometry

Introduction....Pages 1-2
The Concept of Toroidal Groups....Pages 3-24
Line Bundles and Cohomology....Pages 25-56
Quasi-Abelian Varieties....Pages 57-92
Reduction and Extension....Pages 93-124