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Intersection theory相交理论 第2版

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Intersection theory相交理论 第2版

最 低 价：￥325.50

定 价：￥434.00

作 者：WilliamFulton　著 著

出 版 社：

出版时间：1998-6-1

I S B N：9780387985497

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  • Intersection theory相交理论 第2版
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    内容简介
    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.

    作者简介

    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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