Kummer's Quartic Surface (Cambridge Mathematical Library)


Kummer's Quartic Surface (Cambridge Mathematical Library)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 222 p.
  • 言語 ENG
  • 商品コード 9780521397902
  • DDC分類 516.183

Full Description

The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than developing further the formal theory. Many of these questions are touched upon 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.

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