Toroidal Compactification of Siegel Spaces

by Namikawa, Y.

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Title Statements

Full title :Toroidal Compactification of Siegel Spaces / by Y. Namikawa.

Edition Statements

Publication Date:1980.

Publication Statements

Publisher(s):Springer Berlin Heidelberg
Place of Publication:Berlin, Heidelberg
Language:eng
Publication Date:1980.

The Physical Object

Description:1 online resource : : v.: digital

Edition Identifiers

ISBN:9783540100218, 3540100210, 9783540381761, 3540381767
DOI:10.1007/BFb0091051.
oclc:ocn793078629
LC Classification:QA564-609
Dewey Decimal:516.35

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.

Subjects

Compact spaces Domaines de Siegel Espaces compacts Espaces symétriques hermitiens Géométrie algébrique Geometry, Algebraic Groupes linéaires algébriques Hermitian symmetric spaces Linear algebraic groups mathematics Mathématiques Siegel domains Siegel-Raum