The Milnor-Chow homomorphism revisited
Kerz, Moritz · Müller-Stach, Stefan
Original · EN
The aim of this note is to give a simplified proof of the surjectivity of the natural Milnor-Chow homomorphism ρ: Kᵐₙ(A) → CHⁿ(A,n) 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.
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