Ramification sequences and Bezoutian forms

We continue our study from [1] on the problem to bound the number of symbols needed to obtain an element of the second K-group of a rational function field with given ramification. Here we focus on the case of Milnor K-groups modulo 2 for fields of characteristic different from 2. To a given ramific...

Full description

Saved in:
Bibliographic Details
Published inJournal of algebra Vol. 476; pp. 26 - 47
Main Authors Becher, Karim Johannes, Raczek, Mélanie
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.04.2017
Subjects
Milnor K-theory
Quadratic form
Ramification
Valuation
19D45
12G05
Valuation
12Y05
Ramification
12E30
Milnor K-theory
Quadratic form
Online AccessGet full text

Cover

More Information
Summary:We continue our study from [1] on the problem to bound the number of symbols needed to obtain an element of the second K-group of a rational function field with given ramification. Here we focus on the case of Milnor K-groups modulo 2 for fields of characteristic different from 2. To a given ramification sequence, we associate a quadratic form defined over the base field and study its properties. In particular, we relate the Witt index of the quadratic form to the minimal number of symbols necessary to represent the ramification sequence.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2016.11.030