### The Milnor-Chow homomorphism revisited, by Moritz Kerz and Stefan Mueller-Stach

The aim of this note is to give a simplified proof of the surjectivity
of the natural Milnor-Chow homomorphism between Milnor K-theory and
higher Chow groups for essentially smooth (semi-)local k-algebras A
with k infinite. It implies the exactness of the Gersten resolution
for Milnor K-theory at the generic point. Our method uses the
Bloch-Levine moving technique and some properties of the Milnor
K-theory norm for fields.

Moritz Kerz <m.kerz@dpmms.cam.ac.uk>

Stefan Mueller-Stach <mueller-stach@uni-mainz.de>