Toroidal Groups
Subtitle: Line Bundles, Cohomology and Quasi-Abelian Varieties (Lecture Notes in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: June 15, 2001
Language: eng
Format: Paperback
Number of pages: 133
ISBN-13: 9783540419891
Subjects: Algebraic Geometry; Groups & group theory; Group Theory; Mathematics; Science/Mathematics; Probability & Statistics - General; Lie Groups; Algebra - Linear; General; Mathematics / Algebra / Linear; Mathematics / Group Theory; Mathematics-Probability & Statistics - General; Medical-General; Geometry - Algebraic
Description: 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.