Orthogonal involutions over fields with I^3=0
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910948789321728 |
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| author | Becher, Karim Johannes Bingöl, Fatma Kader |
| author_facet | Becher, Karim Johannes Bingöl, Fatma Kader |
| contents | We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of characteristic different from 2 when I^3F = 0. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10609 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orthogonal involutions over fields with I^3=0 Becher, Karim Johannes Bingöl, Fatma Kader Number Theory Algebraic Geometry Rings and Algebras 16K20, 16W10, 11E39 We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of characteristic different from 2 when I^3F = 0. |
| title | Orthogonal involutions over fields with I^3=0 |
| topic | Number Theory Algebraic Geometry Rings and Algebras 16K20, 16W10, 11E39 |
| url | https://arxiv.org/abs/2406.10609 |