Isotropy indices of Pfister multiples in characteristic two
| Autor: | Lorenz, Nico, Zemková, Kristýna |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | J. Pure Appl. Algebra 228(12) (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jpaa.2024.107759 |
| Popis: | Let $F$ be a field of characteristic $2$, $\pi$ be an $n$-fold bilinear Pfister form over $F$ and $\varphi$ an arbitrary quadratic form over $F$. In this note, we investigate Witt index, defect, total isotropy index and higher isotropy indices of $\varphi$ and $\pi\otimes\varphi$ and prove relations among the indices of these two forms over certain field extensions. Comment: 21 pages |
| Databáze: | arXiv |
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