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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.13341 |
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| _version_ | 1866911978301161472 |
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| author | Zemková, Kristýna |
| author_facet | Zemková, Kristýna |
| contents | For a quasilinear $p$-form defined over a field $F$ of characteristic $p>0$, we prove that its defect over the field $F(\sqrt[p^{n_1}]{a_1}, \dots, \sqrt[p^{n_r}]{a_r})$ equals to its defect over the field $F(\sqrt[p]{a_1}, \dots, \sqrt[p]{a_r})$, strengthening a result of Hoffmann from 2004. We also compute the full splitting pattern of some families of quasilinear $p$-forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13341 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Isotropy and full splitting pattern of quasilinear $p$-forms Zemková, Kristýna Number Theory Algebraic Geometry For a quasilinear $p$-form defined over a field $F$ of characteristic $p>0$, we prove that its defect over the field $F(\sqrt[p^{n_1}]{a_1}, \dots, \sqrt[p^{n_r}]{a_r})$ equals to its defect over the field $F(\sqrt[p]{a_1}, \dots, \sqrt[p]{a_r})$, strengthening a result of Hoffmann from 2004. We also compute the full splitting pattern of some families of quasilinear $p$-forms. |
| title | Isotropy and full splitting pattern of quasilinear $p$-forms |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2309.13341 |