Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772129 | Journal of Algebra | 2017 | 22 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Karim Johannes Becher, Mélanie Raczek,