Toroidal Compactification of Siegel Spaces

ISBN-13: 9783540100218 / Angielski / Miękka / 1980 / 166 str.

Y. Namikawa

Spis treści

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.