Toroidal compactification of Siegel spaces

Toroidal compactification of Siegel spaces

by Namikawa, Yukihiko

Type Book
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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:1 online resource (viii, 162 pages) : : illustrations

Edition Identifiers

  • ISBN:9783540381761, 3540381767
  • oclc:ocn297192326
  • LC Classification:QA3
  • Dewey Decimal:512.73

Table of Contents

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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