Intersection theory

Author(s)

• Fulton, William

Bibliographic Information

Intersection theory

William Fulton

（Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 2）

Springer, c1998

2nd ed

• : gw : hardcover
• : us : softcover

Note

Includes bibliographical references (p. [442]-461) and index

Description and Table of Contents

Volume

: us : softcover ISBN 9780387985497

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.

Volume

: gw : hardcover ISBN 9783540620464

Description

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geo metry during the last two centuries, intersection theory has played a central role. The aim of this text 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.

by "Nielsen BookData"

Details

• NCID: BA34165275
• ISBN:
  • 354062046X
  • 0387985492
• LCCN: 97048781
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: xiii, 470 p.
• Size: 25 cm
• Classification:
  • LCC : QA564
  • DC21 : 516.3/5
• Subject Headings:
  • LCSH : Intersection theory
• Parent Bibliography ID:
  • BA00035552