Dahlhausen, Christian (2018) Milnor K-theory of complete discrete valuation rings with finite residue fields. JOURNAL OF PURE AND APPLIED ALGEBRA, 222 (6). pp. 1355-1371. ISSN 0022-4049, 1873-1376
Full text not available from this repository. (Request a copy)Abstract
Consider a complete discrete valuation ring O with quotient field F and finite residue field. Then the inclusion map O -> F induces a map (K) over cap (M)(*) O -> (K) over cap (M)(*) F on improved Milnor K-theory. We show that this map is an isomorphism in degrees bigger or equal to 3. This implies the Gersten conjecture for improved Milnor K-theory for O. This result is new in the p-adic case. (C) 2017 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Feb 2020 13:01 |
| Last Modified: | 17 Feb 2020 13:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14549 |
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