Bounds on the hermitian u-invariants under quadratic field extensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909455468199936 |
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| author | Becher, Karim Johannes Bingöl, Fatma Kader |
| author_facet | Becher, Karim Johannes Bingöl, Fatma Kader |
| contents | The hermitian u-invariants of a central simple algebra with involution are studied. In this context, a new technique is obtained to give bounds for the behavior of these invariants under a quadratic field extension. This is applied to obtain bounds in terms of the index and the u-invariant of the base field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounds on the hermitian u-invariants under quadratic field extensions Becher, Karim Johannes Bingöl, Fatma Kader Number Theory 11E39, 12E15, 16K20 The hermitian u-invariants of a central simple algebra with involution are studied. In this context, a new technique is obtained to give bounds for the behavior of these invariants under a quadratic field extension. This is applied to obtain bounds in terms of the index and the u-invariant of the base field. |
| title | Bounds on the hermitian u-invariants under quadratic field extensions |
| topic | Number Theory 11E39, 12E15, 16K20 |
| url | https://arxiv.org/abs/2501.07662 |