Kummer's Quartic Surface

ISBN-13: 9780521397902 / Angielski / Miękka / 1990 / 252 str.

R. W. H. T. Hudson; W. Barth; Henry Frederick Baker

Opis

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.

Recenzje

"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

Spis treści

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.