Codimension 2
From Mathematics
(→A generalization of the exponential sequence) |
(→Chow groups and Chern classes) |
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| Line 109: | Line 109: | ||
The classical construction of Chow groups and the Chern classes using the splitting principle. | The classical construction of Chow groups and the Chern classes using the splitting principle. | ||
| + | * Definition of the Chow groups of a smooth variety X | ||
| + | * A survey over its properties, including the intersection pairing | ||
| + | * Cycle class map to Cohomology for varieties over <math>\mathbb{C}</math>. | ||
* Splitting principle: Theorem 5.19<ref name="Wei13"/> | * Splitting principle: Theorem 5.19<ref name="Wei13"/> | ||
* Definition of Chern classes using this<ref name=""/> | * Definition of Chern classes using this<ref name=""/> | ||
| − | * The | + | * The isomorphism: |
| − | <math>Pic(X) \cong CH^1(X) | + | <math>Pic(X) \cong CH^1(X)</math> |
(Maybe also isomorphism of CH^1(X) with quotient sheaf of the sheaf of meromorphic functions! I.5.12<ref name="Wei13"/>) | (Maybe also isomorphism of CH^1(X) with quotient sheaf of the sheaf of meromorphic functions! I.5.12<ref name="Wei13"/>) | ||
