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Intersection Theory /

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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 ran...

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Bibliographic Details
Main Author: Fulton, William
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1998.
Edition:Second edition.
Subjects:
Mathematics.
Geometry, Algebraic.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Rational Equivalence
  • Divisors
  • Vector Bundles
  • Cones and Segre Classes
  • Deformations to the Normal Cone
  • Intersection Products
  • Intersection Multiplicites
  • Intersections on Non-singular Varieties
  • Excess and Residual Intersections
  • Families of Algebraic Cycles
  • Dynamic Intersections
  • Positivity
  • Rationality
  • Degeneracy Loci and Grassmannians
  • Riemann-Roch for Non-singular Varieties
  • Correspondences
  • Bivariant Intersections Theory
  • Riemann-Roch for Singular Varieties
  • Algebraic: Homological and Numerical Equivalence
  • Generalizations.