Namikawa, Yukihiko.

Toroidal Compactification of Siegel Spaces [electronic resource] / by Yukihiko Namikawa. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1980. - X, 166 p. online resource. - Lecture Notes in Mathematics, 812 0075-8434 ; . - Lecture Notes in Mathematics, 812 .

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.

9783540381761

10.1007/BFb0091051 doi


Mathematics.
Geometry, algebraic.
Mathematics.
Algebraic Geometry.

QA564-609

516.35
The Institute of Mathematical Sciences, Chennai, India

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