Milnor's K-groups for complete regular local rings, by Yoshihiro Koya

In this paper, we investigate the relationship between Milnor's K-group and Galois cohomology for the quotient field of a 2-dimensional complete regular local ring with a finite residue field. The results given in this paper are considered as a partial answer to the Bloch-Kato conjecture for such a field. The rough sketch of the proof was talked at 1997 AMS Summer Research Conference on Algebraic K-theory.


Yoshihiro Koya <koya@yokohama-cu.ac.jp>