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Viser: Intersection Theory
Intersection Theory
William Fulton
(1998)
Sprog: Engelsk
Detaljer om varen
- 2. Udgave
- Paperback
- Udgiver: Springer New York (Juni 1998)
- ISBN: 9780387985497
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.
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.