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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Lucian Badescu著

出 版 社：

出版时间： 2001-2-1字数：版次： 1页数： 258印刷时间： 2001/02/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780387986685包装： 精装内容简介

The main aim of this book is to present a completely algebraic approach to the Enriques¿ classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields.

目录

Foreword to the English Version

Preface

Conventions and Notation

1 Cohomological Intersection Theory and the Nakai-Moishezon Criterion of Ampleness

2The Hodge Index Theorem and the Structure of the Intersection Matrix of a Fiber

3Criteria of Contractability and Rational Singularities

4Properties of Rational Singularities

5Noether's Formula, the Picard Scheme, the Albanese Variety, and Plurigenera

6Existence of Minimal Models

7Morphisms from a Surface to a Curve. Elliptic and Quasielliptic Fibrations

8Canonical Dimension of an Elliptic or Quasielliptic Fibration

9 The Classification Theorem According to Canonical Dimension

10 Surfaces with Canonical Dimension Zero

11 Ruled Surfaces. The Noether-Tsen Criterion

12 Minimal Models of Ruled Surfaces

13 Characterization of Ruled and Rational Surfaces

14 Zariski Decomposition and Applications

15 Appendix: Further Reading

References

Index

 

 

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