Abstract
We propose a definition of improved Milnor K K -groups of local rings with finite residue fields, such that the improved Milnor K K -sheaf in the Zariski topology is a universal extension of the naive Milnor K K -sheaf with a certain transfer map for étale extensions of local rings. The main theorem states that the improved Milnor K K -ring is generated by elements of degree one.
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