Fields where torsion forms decompose
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910217421193216 |
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| author | Archita, M. Becher, Karim Johannes |
| author_facet | Archita, M. Becher, Karim Johannes |
| contents | Over a real field which is an extension of transcendence degree 1 of a hereditarily pythagorean base field, every quadratic form which is torsion decomposes into an orthogonal sum of 2-dimensional torsion forms. This is obtained from a more general study of weakly isotropic forms over henselian valued fields and over function fields in one variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13844 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fields where torsion forms decompose Archita, M. Becher, Karim Johannes Number Theory 11E04, 11E81, 12D15, 12J10 Over a real field which is an extension of transcendence degree 1 of a hereditarily pythagorean base field, every quadratic form which is torsion decomposes into an orthogonal sum of 2-dimensional torsion forms. This is obtained from a more general study of weakly isotropic forms over henselian valued fields and over function fields in one variable. |
| title | Fields where torsion forms decompose |
| topic | Number Theory 11E04, 11E81, 12D15, 12J10 |
| url | https://arxiv.org/abs/2605.13844 |