Intersection Theory

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.