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Continuity of the norm map on Milnor K-theory

Published online by Cambridge University Press:  21 November 2011

Matthew Morrow
Matthew Morrow
Affiliation:
University of Chicago, 5734 S. University Ave., Chicago, IL, 60637, USAmmorrow@math.uchicago.eduhttp://math.uchicago.edu/~mmorrow/
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Abstract

The norm map on the Milnor K-groups of a finite extension of complete, discrete valuation fields is continuous with respect to the unit group filtrations. The only proof in the literature, due to K. Kato, uses semi-global methods. Here we present an elementary algebraic proof.

Keywords

Milnor K-theorynorm maphigher local class field theory
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 3 , June 2012 , pp. 565 - 577
Copyright
Copyright © ISOPP 2011

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