Milnor -theory of local rings with finite residue fields
Milnor -theory of local rings with finite residue fields
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有限留数域局部环的米尔诺理论
DOI：
10.1090/s1056-3911-09-00514-1
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发表时间：
2010
影响因子：
1.8
通讯作者：
M. Kerz
中科院分区：
文献类型：
--
作者：
M. Kerz
给出了具有有限剩余域的局部环的改进Milnor K-群的定义，使得Zebraki拓扑中的改进Milnor Ksheaf是朴素Milnor K-层的泛扩张，且局部环的实扩张具有一定的转移映射.主要定理指出改进的Milnor K-环是由一次元素生成的。
We propose a definition of improved Milnor K-groups of local rings with finite residue fields, such that the improved Milnor Ksheaf in the Zariski topology is a universal extension of the naive Milnor K-sheaf with a certain transfer map for etale extensions of local rings. The main theorem states that the improved Milnor K-ring is generated by elements of degree one.