Kummer's Quartic Surface available in Paperback
- Pub. Date:
- Cambridge University Press
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.
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.