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On the second
K-group of a rational function
field
Karim Johannes Becher and Mélanie Raczek |
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Vol. 262 (2013), No. 1, 1–9
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Abstract |
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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. |
Keywords
Milnor K-theory, field
extension, valuation, ramification
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Mathematical Subject Classification 2010
Primary: 12Y05, 12E30, 12G05, 19D45
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Milestones
Received: 8 February 2012
Revised: 1 June 2012
Accepted: 29 June 2012
Published: 27 March 2013
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Authors |
| Karim Johannes Becher | |
| Universiteit Antwerpen Department Mathematics and Computer Science Middelheimlaan 1 B-2020 Antwerpen Belgium |
Universität Konstanz Zukunftskolleg / FB Mathematik und Statistik D-78457 Konstanz Germany |
| Mélanie Raczek | |
| Université Catholique de
Louvain ICTEAM Chemin du Cyclotron 2 1348 Louvain-La-Neuve Belgium |
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