ENGLISH

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

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
9783540419891, 3540419896
DOI
10.1007/b80605
Open Library ID
OL9057275M
Language
english
Format
DJVU
Filesize
1006 kB (1029665 bytes)
Series
Lecture Notes in Mathematics 1759
Edition
1
Pages
142\131
Topic
Mathematics Algebra
Time added
2010-04-25 21:59:20

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.

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