Milnor 𝐾-theory of local rings with finite residue fields-Reference-Cited by-同舟云学术

Milnor 𝐾-theory of local rings with finite residue fields

Published:2009-07-09 Issue:1 Volume:19 Page:173-191
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Kerz Moritz

Abstract

We propose a definition of improved Milnor K K -groups of local rings with finite residue fields, such that the improved Milnor K K -sheaf in the Zariski topology is a universal extension of the naive Milnor K K -sheaf with a certain transfer map for étale extensions of local rings. The main theorem states that the improved Milnor K K -ring is generated by elements of degree one.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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