Abstract
In an earlier note we defined the wildness filtration of the Witt group of quadratic forms over a discretely valued field. In this note we determine its connection with the fundamental filtration of the Witt group, the filtration defined using the powers of the fundamental ideal of the Witt ring of the field.
| Original language | English |
|---|---|
| Pages (from-to) | 75-83 |
| Number of pages | 9 |
| Journal | Journal of Algebra |
| Volume | 591 |
| DOIs | |
| Publication status | Published - 1 Feb 2022 |
Bibliographical note
Publisher Copyright: © 2021 Elsevier Inc.Other keywords
- Discrete valuations
- Quadratic forms
- Witt groups