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Complex Algebraic Surfaces

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ISBN-10: 0521498422

ISBN-13: 9780521498425

Edition: 2nd 1996 (Revised)

Authors: Arnaud Beauville, C. M. Series, J. W. Bruce

List price: $49.99
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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.
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Book details

List price: $49.99
Edition: 2nd
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 6/28/1996
Binding: Paperback
Pages: 144
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 0.440
Language: English

Introduction
Notation
The Picard Group and the Riemann-Roch Theorem
Birational Maps
Ruled Surfaces
Rational Surfaces
Castelnuovo's Theorem and Applications
Surfaces With pg = 0 and q > 1
Kodaira Dimension
Surfaces With k = 0: Part
Surfaces With k = 1 and Elliptic Surfaces
Surfaces of General Type
Characteristic p
Complex surfaces
Further reading
References
Index