Intersection theory

著者

• Fulton, William

書誌事項

Intersection theory

William Fulton

Springer, c1998

2nd ed.

• : sc

注記

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

Bibliography: p. [442]-461

Includes index

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA39987125
• ISBN:
  • 9780387985497
• LCCN: 97048781
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York ; Berlin
• ページ数/冊数: xiii, 470 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA564
  • DC21 : 516.3/5
• 件名:
  • LCSH : Intersection theory
  • RSWK : Schnittheorie