Complex algebraic surfaces

Author(s)

• Beauville, Arnaud

Bibliographic Information

Complex algebraic surfaces

Arnaud Beauville

（London Mathematical Society student texts, 34）

Cambridge University Press, 1996

2nd ed

• : hbk
• : pbk

Other Title

Surfaces algébriques complexes

Note

Includes bibliographical references (p. 127-130) and index

"Originally published in French as Surfaces algébriques complexes, Astérique 54 and Société Mathématique de France, Paris 1978" - T.p. verso

"Translated by R. Barlow" - T.p. verso

Description and Table of Contents

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.

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.

by "Nielsen BookData"

Details

• NCID: BA28395871
• ISBN:
  • 0521495105
  • 0521498422
• LCCN: 96014064
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: fre
• Place of Publication: Cambridge
• Pages/Volumes: ix, 132 p.
• Size: 23 cm
• Classification:
  • LCC : QA573
  • DC20 : 516.3/52
• Subject Headings:
  • LCSH : Surfaces, Algebraic
• Parent Bibliography ID:
  • BA00194352