Toroidal Compactification of Siegel Spaces
Published on 1. August 1980
Book
Paperback/Softback
X, 166 pages
978-3-540-10021-8 (ISBN)
Description
The siegel upperhalf plane and the symplectic group.- Main problem and main results.- The case of g=1.- Boundary components and the structure of parabolic subgroups.- Realization as a siegel domain of the third kind, and satake compactification.- Theory of torus embeddings.- Toroidal compactification due to Mumford.- Examples : reduction theory of positive quadratic forms.- An application of the Voronoi compactification to the theory of moduli of polarized abelian varieties.
More details
Series
Edition
1980 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 166 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
271 gr
ISBN-13
978-3-540-10021-8 (9783540100218)
DOI
10.1007/BFb0091051
Schweitzer Classification
Content
The siegel upperhalf plane and the symplectic group.- Main problem and main results.- The case of g=1.- Boundary components and the structure of parabolic subgroups.- Realization as a siegel domain of the third kind, and satake compactification.- Theory of torus embeddings.- Toroidal compactification due to Mumford.- Examples : reduction theory of positive quadratic forms.- An application of the Voronoi compactification to the theory of moduli of polarized abelian varieties.