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《相交理论》(Intersection Theory)扫描版[DJVU]

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  • 摘要:
    出版社Springer
    发行时间1998年
    语言英文
  • 时间: 2010/07/23 22:59:40 发布 | 2011/09/12 17:01:35 更新
  • 分类: 图书  教育科技 

Jean_Pierre

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中文名相交理论
原名Intersection Theory
资源格式DJVU
版本扫描版
出版社Springer
书号0387985492
发行时间1998年
地区美国
语言英文
简介

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内容简介:

相交理论在代数几何的发展中扮演了重要的角色,并至今在许多领域有着重要的应用。本书介绍了相交理论的理论基础,以及其经典的和现代的应用。虽然在书中没有着重介绍相交理论的历史,作者对其在历史上起到的部分重要作用也有提及。前六章是本书的基础部分,掌握前六章之后,读者可以有选择的阅读以后的章节。

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.

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目录

Introduction
Chapter 1 Rational Equivalence
Chapter 2 Divisors
Chapter 3 Vector Bundles and Chern Classes
Chapter 4 Cones and Segre Classes
Chapter 5 Deformation to the Normal Cone
Chapter 6 Intersection Products
Chapter 7 Intersection Multiplicities
Chapter 8 Intersections on Non-singular Varieties
Chapter 9 Excess and Residual Intersections
Chapter 10 Families of Algebraic Cycles
Chapter 11 Dynamic Intersections
Chapter 12 Positivity
Chapter 13 Rationality
Chapter 14 Degeneracy Loci and Grassmannians
Chapter 15 Riemann-Roch for Non-singular Varieties
Chapter 16 Correspondences
Chapter 17 Bivariant Intersection Theory
Chapter 18 Riemann-Roch for Singular Varieties
Chapter 19 Algebraic, Homological and Numerical Equivalence
Chapter 20 Generalizations
App. A Algebra
App. B Algebraic Geometry (Glossary)
Bibliography
Notation
Index

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