Isotropy indices of Pfister multiples in characteristic two
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917741707919360 |
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| author | Lorenz, Nico Zemková, Kristýna |
| author_facet | Lorenz, Nico Zemková, Kristýna |
| contents | Let $F$ be a field of characteristic $2$, $π$ be an $n$-fold bilinear Pfister form over $F$ and $φ$ an arbitrary quadratic form over $F$. In this note, we investigate Witt index, defect, total isotropy index and higher isotropy indices of $φ$ and $π\otimesφ$ and prove relations among the indices of these two forms over certain field extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isotropy indices of Pfister multiples in characteristic two Lorenz, Nico Zemková, Kristýna Number Theory 11E04, 11E81 Let $F$ be a field of characteristic $2$, $π$ be an $n$-fold bilinear Pfister form over $F$ and $φ$ an arbitrary quadratic form over $F$. In this note, we investigate Witt index, defect, total isotropy index and higher isotropy indices of $φ$ and $π\otimesφ$ and prove relations among the indices of these two forms over certain field extensions. |
| title | Isotropy indices of Pfister multiples in characteristic two |
| topic | Number Theory 11E04, 11E81 |
| url | https://arxiv.org/abs/2401.12515 |