79 Chow Groups of Spaces

Section 79.1: Introduction
Section 79.2: Setup
- Situation 79.2.1
- Remark 79.2.2
- Remark 79.2.3
- Lemma 79.2.4
- Definition 79.2.5
Section 79.3: Cycles
- Definition 79.3.1
Section 79.4: Multiplicities
- Lemma 79.4.1
- Definition 79.4.2
- Lemma 79.4.3
- Lemma 79.4.4
- Lemma 79.4.5
Section 79.5: Cycle associated to a closed subspace
- Remark 79.5.1
- Definition 79.5.2
Section 79.6: Cycle associated to a coherent sheaf
- Definition 79.6.1
- Lemma 79.6.2
- Lemma 79.6.3
- Lemma 79.6.4
Section 79.7: Preparation for proper pushforward
- Lemma 79.7.1
- Remark 79.7.2
- Remark 79.7.3
- Lemma 79.7.4
- Lemma 79.7.5
Section 79.8: Proper pushforward
- Definition 79.8.1
- Lemma 79.8.2
- Lemma 79.8.3
Section 79.9: Preparation for flat pullback
- Lemma 79.9.1
- Lemma 79.9.2
Section 79.10: Flat pullback
- Definition 79.10.1
- Lemma 79.10.2
- Lemma 79.10.3
- Lemma 79.10.4
- Lemma 79.10.5
Section 79.11: Push and pull
- Lemma 79.11.1
- Lemma 79.11.2
Section 79.12: Preparation for principal divisors
- Lemma 79.12.1
Section 79.13: Principal divisors
- Definition 79.13.1
- Lemma 79.13.2
Section 79.14: Principal divisors and pushforward
- Lemma 79.14.1
Section 79.15: Rational equivalence
- Definition 79.15.1
- Lemma 79.15.2
- Remark 79.15.3
Section 79.16: Rational equivalence and push and pull
- Lemma 79.16.1
- Lemma 79.16.2
- Lemma 79.16.3
Section 79.17: The divisor associated to an invertible sheaf
- Definition 79.17.1
- Lemma 79.17.2
- Lemma 79.17.3
- Lemma 79.17.4
Section 79.18: Intersecting with an invertible sheaf
- Definition 79.18.1
- Lemma 79.18.2
- Lemma 79.18.3
  - Equation 79.18.3.1
- Lemma 79.18.4
Section 79.19: Intersecting with an invertible sheaf and push and pull
- Lemma 79.19.1
- Lemma 79.19.2
- Lemma 79.19.3
- Lemma 79.19.4
Section 79.20: The key formula
- Lemma 79.20.1: Key formula
Section 79.21: Intersecting with an invertible sheaf and rational equivalence
- Lemma 79.21.1
- Lemma 79.21.2
- Lemma 79.21.3
Section 79.22: Intersecting with effective Cartier divisors
- Definition 79.22.1
- Remark 79.22.2
- Remark 79.22.3
- Lemma 79.22.4
- Lemma 79.22.5
- Lemma 79.22.6
- Lemma 79.22.7
Section 79.23: Gysin homomorphisms
- Lemma 79.23.1
- Lemma 79.23.2
- Lemma 79.23.3
- Lemma 79.23.4
Section 79.24: Relative effective Cartier divisors
- Lemma 79.24.1
Section 79.25: Affine bundles
- Lemma 79.25.1
- Lemma 79.25.2
Section 79.26: Bivariant intersection theory
- Definition 79.26.1 reference
- Definition 79.26.2
- Remark 79.26.3
- Lemma 79.26.4
- Lemma 79.26.5
- Lemma 79.26.6
- Lemma 79.26.7
- Lemma 79.26.8
- Lemma 79.26.9
Section 79.27: Projective space bundle formula
- Lemma 79.27.1
- Lemma 79.27.2: Projective space bundle formula
- Lemma 79.27.3
Section 79.28: The Chern classes of a vector bundle
- Lemma 79.28.1
- Definition 79.28.2
- Lemma 79.28.3
- Lemma 79.28.4
- Remark 79.28.5
Section 79.29: Polynomial relations among chern classes
- Lemma 79.29.1
  - Equation 79.29.1.1
Section 79.30: Additivity of chern classes
- Lemma 79.30.1
- Lemma 79.30.2
- Lemma 79.30.3
- Lemma 79.30.4
Section 79.31: The splitting principle
- Lemma 79.31.1
- Lemma 79.31.2
- Lemma 79.31.3
Section 79.32: Degrees of zero cycles
- Definition 79.32.1
- Lemma 79.32.2
- Lemma 79.32.3