
Complex Algebraic Surfaces
Arnaud Beauville(Author)
Cambridge University Press
2nd Edition
Published on 28. June 1996
Book
Paperback/Softback
144 pages
978-0-521-49842-5 (ISBN)
Description
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.
Reviews / Votes
'... a lucid and concise account of the subject.' L'Enseignement MathematiqueMore details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 9 mm
Weight
220 gr
ISBN-13
978-0-521-49842-5 (9780521498425)
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Schweitzer Classification
Other editions
Previous edition
A. Beauville
Complex Algebraic Surfaces
Book
09/1983
Cambridge University Press
€21.71
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Content
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.