Toroidal compactification of Siegel spaces
著者
書誌事項
Toroidal compactification of Siegel spaces
(Lecture notes in mathematics, 812)
Springer-Verlag, 1980
- : Berlin
- : New York
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注記
Bibliography: p. [153]-155
Includes index
内容説明・目次
目次
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.
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