相交理论 Intersection Theory 扫描版[DJVU]

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资源信息： 中文名: 相交理论 原名: Intersection Theory 作者: William Fulton 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 概述:

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. 内容截图:

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