Toroidal Compactification of Siegel Spaces [electronic resource] / by Yukihiko Namikawa.
Material type: TextSeries: Lecture Notes in Mathematics ; 812Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1980Description: X, 166 p. online resourceContent type:- text
- computer
- online resource
- 9783540381761
- 516.35 23
- QA564-609
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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