Toroidal compactification of Siegel spaces

by Namikawa, Yukihiko

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Title Statements

Full title :Toroidal compactification of Siegel spaces / Yukihiko Namikawa.

Edition Statements

Publication Date:1980.

Publication Statements

Publisher(s):Springer-Verlag
Place of Publication:Berlin
Language:eng
Publication Date:1980.

The Physical Object

Description:viii, 162 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:0387100210, 9780387100210, 3540100210, 9783540100218
oclc:ocm06602794
LC Classification:QA3
Dewey Decimal:510 s

1. The Siegel upperhalf plane and the syplectic group -- 2. Main problem and main results -- 3. The case of g = 1 -- 4. Boundary components and the structure of parabolic subgroups -- 5. Realization as a Siegel domain of the third kind, and Stake compactification -- 6. Theory of torus embeddings -- 7. Toroidal compactification due to Mumford -- 8. Examples : reduction theory of positive quadratic forms -- 9. An application of the Voronoi compactification to the theory of moduli of polarized abelian varieties -- Appendix : Abstract theory of bounded symmetric domains (with explicit description in the case of Siegel upperhalf plane).

Subjects

Compact spaces Domaines de Siegel Espaces compacts Espaces symétriques hermitiens Geometry, Algebraic Groupes linéaires algébriques Hermitian symmetric spaces Hermitian symmmetric spaces Linear algebraic groups Siegel domains Siegel-Raum Toroidale Kompaktifizierung