5-dimensional minimal quadratic and bilinear forms over function fields of conics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908309515141120 |
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| author | Chapman, Adam Laghribi, Ahmed |
| author_facet | Chapman, Adam Laghribi, Ahmed |
| contents | Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. This completes the unique known case due to Faivre concerning the classification of minimal quadratic forms of dimension 5 and type (2,1) over function fields of nonsingular conics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 5-dimensional minimal quadratic and bilinear forms over function fields of conics Chapman, Adam Laghribi, Ahmed Commutative Algebra 11E04, 11E81 Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. This completes the unique known case due to Faivre concerning the classification of minimal quadratic forms of dimension 5 and type (2,1) over function fields of nonsingular conics. |
| title | 5-dimensional minimal quadratic and bilinear forms over function fields of conics |
| topic | Commutative Algebra 11E04, 11E81 |
| url | https://arxiv.org/abs/2504.06723 |