Intersection theory

Author(s)

• Fulton, William

Bibliographic Information

Intersection theory

William Fulton

Springer, c1998

2nd ed.

• : sc

Note

Original ed. was published as vol.2 of the seris Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge

Bibliography: p. [442]-461

Includes index

Description and Table of Contents

Description

Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.

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.

by "Nielsen BookData"

Details

• NCID: BA39987125
• ISBN:
  • 9780387985497
• LCCN: 97048781
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Berlin
• Pages/Volumes: xiii, 470 p.
• Size: 24 cm
• Classification:
  • LCC : QA564
  • DC21 : 516.3/5
• Subject Headings:
  • LCSH : Intersection theory
  • RSWK : Schnittheorie