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Kummer's Quartic Surface

Kummer's Quartic Surface

$72.99 (P)

Part of Cambridge Mathematical Library

  • Date Published: October 1990
  • availability: Available
  • format: Paperback
  • isbn: 9780521397902

$ 72.99 (P)
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  • The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further developing the formal theory. Many of these questions are touched on in this classic volume: such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface. First printed in 1905 after the untimely death of the author, this work has stood for most of this century as one of the classic reference works in geometry.

    Reviews & endorsements

    "This famous book is a prototype for the possibility of explaining and exploring a many-faceted topic of research, without focussing on general definitions, formal techniques, or even fancy machinery. In this regard, the book still stands as a highly recommendable, unparalleled introduction to Kummer surfaces, as a permanent source of inspiration and, last but not least. as an everlasting symbol of mathematical culture." Werner Kleinert, Mathematical Reviews

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    Product details

    • Date Published: October 1990
    • format: Paperback
    • isbn: 9780521397902
    • length: 252 pages
    • dimensions: 228 x 152 x 23 mm
    • weight: 0.38kg
    • availability: Available
  • Table of Contents

    1. Kummer's configuration
    2. The quartic surface
    3. The orthogonal matrix of linear forms
    4. Line geometry
    5. The quadratic complex and congruence
    6. Plucker's complex surface
    7. Sets of nodes
    8. Equations of Kummer's surface
    9. Special forms of Kummer's surface
    10. The wave surface
    11. Reality and topology
    12. Geometry of four dimensions
    13. Algebraic curves on the surface
    14. Curves of different orders
    15. Weddle's surface
    16. Theta functions
    17. Applications of Abel's theorem
    18. Singular Kummer surfaces
    Index
    Plate.

  • Author

    R. W. H. Hudson

    Foreword

    W. Barth

    Preface by

    H. F. Baker

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