The Gersten conjecture for Milnor K-theory
成果类型：
Article
署名作者：
Kerz, Moritz
署名单位：
University of Regensburg
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-008-0144-8
发表日期：
2009
页码：
1-33
关键词：
摘要：
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.