Complex Algebraic Surfaces

by Arnaud Beauville

Overview

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.

Product Details

ISBN-13:	9780521498425
Publisher:	Cambridge University Press
Publication date:	06/28/1996
Series:	London Mathematical Society Student Texts , #34
Edition description:	REV
Pages:	144
Product dimensions:	5.98(w) x 8.98(h) x 0.67(d)

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.

Editorial Reviews

‘… a lucid and concise account of the subject.’ L’Enseignement Mathématique

From the Publisher