Intersection Theory

Intersection Theory by W. Fulton.

From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen­ turies, intersection theory has played a central role. Since its role in founda­ tional crises has been no less prominent, the lack of a complet...

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Bibliographic Details
Main Author: Fulton, W. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1984.
Edition:1st ed. 1984.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 2
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
  • Summary
  • A.1 Length
  • A.2 Herbrand Quotients
  • A.3 Order Functions
  • A.4 Flatness
  • A.5 Koszul Complexes
  • A.6 Regular Sequences
  • A.7 Depth
  • A.8 Normal Domains
  • A.9 Determinantal Identities
  • Notes and References
  • Appendix B. Algebraic Geometry (Glossary)
  • B.1 Algebraic Schemes
  • B.2 Morphisms
  • B.3 Vector Bundles
  • B.4 Cartier Divisors
  • B.5 Projective Cones and Bundles
  • B.6 Normal Cones and Blowing Up
  • B.7 Regular Imbeddings and l.c.i. Morphisms
  • B.8 Bundles on Imbeddable Schemes
  • B.9 General Position
  • Notation.

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