Complex Algebraic Surfaces
Complex Algebraic Surfaces
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The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The book is aimed at graduate students in geometry and topology.
- 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
June 1996Paperback
9780521498425
144 pages
228 × 152 × 17 mm
0.208kg
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.
