Complex Algebraic Surfaces
Complex Algebraic Surfaces
Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.
- Well known author
- First edition was very well received
- Based on courses given in Paris
Reviews & endorsements
‘… a lucid and concise account of the subject.’ L’Enseignement Mathématique
Product details
July 1996Hardback
9780521495103
144 pages
236 × 160 × 15 mm
0.363kg
50 exercises
Available
Table of Contents
- Introduction
- Notation
- Part I. The Picard Group and the Riemann-Roch Theorem: Part II. Birational Maps: Part III. Ruled Surfaces: Part IV. Rational Surfaces: Part V. Castelnuovo’s Theorem and Applications: Part VI. Surfaces With pg = 0 and q > 1: Part VII. Kodaira Dimension: Part VIII. Surfaces With k = 0: Part IX. Surfaces With k = 1 and Elliptic Surfaces: Part X. Surfaces of General Type: Appendix A. Characteristic p
- Appendix B. Complex surfaces
- Appendix C. Further reading
- References
- Index.
