On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917651990708224 |
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| author | Rogers, Robert Schlichting, Marco |
| author_facet | Rogers, Robert Schlichting, Marco |
| contents | We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F2 and use this to show that the usual presentation of the Grothendieck-Witt group of symmetric bilinear forms over R as the zero-th Milnor-Witt K-group holds provided the residue field of R is not F2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03962 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings Rogers, Robert Schlichting, Marco K-Theory and Homology Rings and Algebras We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F2 and use this to show that the usual presentation of the Grothendieck-Witt group of symmetric bilinear forms over R as the zero-th Milnor-Witt K-group holds provided the residue field of R is not F2. |
| title | On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings |
| topic | K-Theory and Homology Rings and Algebras |
| url | https://arxiv.org/abs/2311.03962 |