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Toroidal Compactification of Siegel Spaces

  • Book
  • © 1980

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Authors:
  1. Yukihiko Namikawa
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 812)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. The siegel upperhalf plane and the symplectic group

    • Yukihiko Namikawa
    Pages 1-6

  3. Main problem and main results

    • Yukihiko Namikawa
    Pages 7-10

  4. The case of g = 1

    • Yukihiko Namikawa
    Pages 11-14

  5. Boundary components and the structure of parabolic subgroups

    • Yukihiko Namikawa
    Pages 15-28

  6. Realization as a siegel domain of the third kind, and satake compactification

    • Yukihiko Namikawa
    Pages 29-38

  7. Theory of torus embeddings

    • Yukihiko Namikawa
    Pages 39-57

  8. Toroidal compactification due to Mumford

    • Yukihiko Namikawa
    Pages 58-84

  9. Examples : reduction theory of positive quadratic forms

    • Yukihiko Namikawa
    Pages 85-94

  10. An application of the Voronoi compactification to the theory of moduli of polarized abelian varieties

    • Yukihiko Namikawa
    Pages 95-112

  11. Back Matter

    Pages 113-162
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Bibliographic Information

  • Book Title: Toroidal Compactification of Siegel Spaces

  • Authors: Yukihiko Namikawa

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0091051

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1980

  • Softcover ISBN: 978-3-540-10021-8Published: 01 August 1980

  • eBook ISBN: 978-3-540-38176-1Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 166

  • Topics: Algebraic Geometry

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