Milnor K-theory of local rings with finite residue fields, by Moritz Kerz

[Mar 15, 2010: updated version of paper provided, replacing the version from Sep 17, 2007.]

[Mar 2, 2010: please refer to the published version.]

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.

Moritz Kerz <>