Kerz, Moritz and Mueller-Stach, Stefan (2007) The milnor-chow homomorphism revisited. K-THEORY, 38 (1). pp. 49-58. ISSN 0920-3036,
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The aim of this note is to give a simplified proof of the surjectivity of the natural Milnor-Chow homomorphism rho : K-n(M)(A) -> CHn(A,n) between Milnor K-theory and higher Chow groups for essentially smooth (semi-)local k-algebras A with infinite residue fields. It implies the exactness of the Gersten resolution for Milnor K-theory at the generic point. Our method uses the Bloch-Levine moving technique and some properties of the Milnor K-theory norm for fields. Furthermore we give new applications.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K-THEORY; Milnor K-theory; Motivic cohomology; Gersten conjecture |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Nov 2020 15:01 |
| Last Modified: | 30 Nov 2020 15:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31993 |
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