Toroidal Compactification of Siegel Spaces

Yukihiko Namikawa (auth.)9780387100210, 0-387-10021-0

Table of contents :
The siegel upperhalf plane and the symplectic group….Pages 1-6
Main problem and main results….Pages 7-10
The case of g=1….Pages 11-14
Boundary components and the structure of parabolic subgroups….Pages 15-28
Realization as a siegel domain of the third kind, and satake compactification….Pages 29-38
Theory of torus embeddings….Pages 39-57
Toroidal compactification due to Mumford….Pages 58-84
Examples : reduction theory of positive quadratic forms….Pages 85-94
An application of the Voronoi compactification to the theory of moduli of polarized abelian varieties….Pages 95-112