Codimension 2
From Mathematics
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* Cycle class map to Cohomology for varieties over <math>\mathbb{C}</math>. | * 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 algebraic Chern classes using | + | * Definition of algebraic Chern classes using the splitting prinicple <ref name="Gro58">, axiomatic characterization |
* Mention also the compatibility (via the cycle class map to sigular cohomology) with the complex analytic construction of Chern classes using metrics and connections | * Mention also the compatibility (via the cycle class map to sigular cohomology) with the complex analytic construction of Chern classes using metrics and connections | ||
* The isomorphism: | * The isomorphism: | ||
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<ref name="Ros94">Rosenberg, J.; | <ref name="Ros94">Rosenberg, J.; | ||
''Algebraic K-theory and its applications''. | ''Algebraic K-theory and its applications''. | ||
| − | Graduate Texts in Mathematics, 147. Springer-Verlag, New York, 1994. x+392 pp. | + | Graduate Texts in Mathematics, 147. Springer-Verlag, New York, 1994. x+392 pp. |
| + | |||
| + | <ref name="Gro58">Grothendieck, A. | ||
| + | ''La théorie des classes de Chern''. (French) | ||
| + | Bull. Soc. Math. France 86 1958 137–154.</ref> | ||
</ref> | </ref> | ||
</references> | </references> | ||
