Author | Namikawa, Yukihiko. author |
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Title | Toroidal Compactification of Siegel Spaces [electronic resource] / by Yukihiko Namikawa |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1980 |
Connect to | http://dx.doi.org/10.1007/BFb0091051 |
Descript | X, 166 p. online resource |
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