Intersection Theory

Intersection Theory by William Fulton.

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 (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1998.
Edition:2nd ed. 1998.
Series:Springer eBook Collection.
Subjects:
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Rational Equivalence
  • 2. Divisors
  • 3. Vector Bundles and Chern Classes
  • 4. Cones and Segre Classes
  • 5. Deformation to the Normal Cone
  • 6. Intersection Products
  • 7. Intersection Multiplicities
  • 8. Intersections on Non-singular Varieties
  • 9. Excess and Residual Intersections
  • 10. Families of Algebraic Cycles
  • 11. Dynamic Intersections
  • 12. Positivity
  • 13. Rationality
  • 14. Degeneracy Loci and Grassmannians
  • 15. Riemann-Roch for Non-singular Varieties
  • 16. Correspondences
  • 17. Bivariant Intersection Theory
  • 18. Riemann-Roch for Singular Varieties
  • 19. Algebraic, Homological and Numerical Equivalence
  • 20. Generalizations
  • Appendix A. Algebra
  • Appendix B. Algebraic Geometry (Glossary)
  • Notation.

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