Vishik equivalence and similarity of quasilinear $p$-forms and totally singular quadratic forms
| Autor: | Zemková, Kristýna |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Pacific J. Math. 329 (2024) 327-356 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2024.329.327 |
| Popis: | For quadratic forms over fields of characteristic different from two, there is a so-called Vishik criterion, giving a purely algebraic characterization of when two quadratic forms are motivically equivalent. In analogy to that, we define Vishik equivalence on quasiliner $p$-forms. We study the question whether Vishik equivalent $p$-forms must be similiar. We prove that this is not true for quasilinear $p$-forms in general, but we find some families of totally singular quadratic forms (i.e., of quasilinear $2$-forms) for which the question has positive answer. Comment: 30 pages |
| Databáze: | arXiv |
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