A closer look at Witt rings for forms of higher degree
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916320574963712 |
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| author | Pumpluen, Susanne |
| author_facet | Pumpluen, Susanne |
| contents | Witt rings for nondegenerate forms $φ$ of degree $d$ over a field of characteristic 0 or greater than $d$ were defined by Harrison and Pareigis. We revisit and discuss their definition as well as some special cases, classify the $H$-forms employed in their definition, and define Witt rings of diagonal forms of degree $d$. We also define two new Witt rings for nondegenerate forms $φ$ of degree $d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15287 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A closer look at Witt rings for forms of higher degree Pumpluen, Susanne Rings and Algebras Witt rings for nondegenerate forms $φ$ of degree $d$ over a field of characteristic 0 or greater than $d$ were defined by Harrison and Pareigis. We revisit and discuss their definition as well as some special cases, classify the $H$-forms employed in their definition, and define Witt rings of diagonal forms of degree $d$. We also define two new Witt rings for nondegenerate forms $φ$ of degree $d$. |
| title | A closer look at Witt rings for forms of higher degree |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2403.15287 |