Karim Johannes Becher and Mélanie Raczek: On the second K-group of a rational function field

becher@maths.ucd.ie, melanie.raczek@ulouvain.be

Submission: 2012, Feb 8

We give an optimal bound on the minimal length of a sum of symbols in the second Milnor K-group of a rational function field in terms of the degree of the ramification.

2010 Mathematics Subject Classification: 12E30, 12G05, 12Y05, 19D45

Keywords and Phrases: Milnor K-theory, field extension, valuation, ramification

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