Intersection Theory (Paperback, 2)

Rational Equivalence.- Divisors.- Vector Bundles.- Cones and Segre Classes.- Deformations to the Normal Cone.- Intersection Products.- Intersection Multiplicites.- Intersections on Non-singular Varieties.- Excess and Residual Intersections.- Families of Algebraic Cycles.- Dynamic Intersections.- Positivity.- Rationality.- Degeneracy Loci and Grassmannians.- Riemann-Roch for Non-singular Varieties.- Correspondences.- Bivariant Intersections Theory.- Riemann-Roch for Singular Varieties.- Algebraic: Homological and Numerical Equivalence.- Generalizations. 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.