MILNOR K-THEORY OF LOCAL RINGS WITH FINITE RESIDUE FIELDS

摘要

We propose a definition of improved Milnor K-groups of local rings with finite residue fields, such that the improved Milnor K-sheaf 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.