Two refined notions in quadratic form theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911767457693696 |
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| author | Cassady, Connor |
| author_facet | Cassady, Connor |
| contents | We use the Witt index to define and study a refined notion of the local-global principle for isotropy of quadratic forms over a field $k$ and to define and study refined versions of the $m$-invariant of $k$. We also explore connections between these refinements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16602 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two refined notions in quadratic form theory Cassady, Connor Number Theory 11E04, 11E81, 14G12 (primary), 12J10, 13J10 (secondary) We use the Witt index to define and study a refined notion of the local-global principle for isotropy of quadratic forms over a field $k$ and to define and study refined versions of the $m$-invariant of $k$. We also explore connections between these refinements. |
| title | Two refined notions in quadratic form theory |
| topic | Number Theory 11E04, 11E81, 14G12 (primary), 12J10, 13J10 (secondary) |
| url | https://arxiv.org/abs/2401.16602 |