Bounding generators for the kernel and cokernel of the tame symbol for curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913558812426240 |
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| author | de Jeu, Rob |
| author_facet | de Jeu, Rob |
| contents | Let $C$ be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of $C$ for the generators that are required for the cokernel of the tame symbol, as well as, under a simplifying assumption, its kernel. We briefly discuss a potential application to Chow groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounding generators for the kernel and cokernel of the tame symbol for curves de Jeu, Rob K-Theory and Homology Algebraic Geometry 19C20, 19E08 (primary), 14C15, 19D45 (secondary) Let $C$ be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of $C$ for the generators that are required for the cokernel of the tame symbol, as well as, under a simplifying assumption, its kernel. We briefly discuss a potential application to Chow groups. |
| title | Bounding generators for the kernel and cokernel of the tame symbol for curves |
| topic | K-Theory and Homology Algebraic Geometry 19C20, 19E08 (primary), 14C15, 19D45 (secondary) |
| url | https://arxiv.org/abs/2407.07974 |