The Gersten conjecture for Milnor K-theory

Kerz, Moritz (2009) The Gersten conjecture for Milnor K-theory. INVENTIONES MATHEMATICAE, 175 (1). pp. 1-33. ISSN 0020-9910,

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Abstract

We prove that the n-th Milnor K-group of an essentially smooth local ring over an infinite field coincides with the (n,n)-motivic cohomology of the ring. This implies Levine's generalized Bloch-Kato conjecture.

Item Type: Article
Uncontrolled Keywords: QUADRATIC-FORMS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Moritz Kerz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Oct 2020 11:05
Last Modified: 12 Oct 2020 11:05
URI: https://pred.uni-regensburg.de/id/eprint/29752

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