An elementary proof of the local Kronecker-Weber theorem
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918522173521920 |
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| author | Koenigsmann, Jochen Stock, Benedikt |
| author_facet | Koenigsmann, Jochen Stock, Benedikt |
| contents | We will present a novel elementary, self-contained, and explicit proof of the local Kronecker-Weber theorem. Apart from discrete valuation theory, it does not make use of any tools beyond those introduced in a second undergraduate course on algebra. In particular, we will not make use of results from local class field theory or Galois cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05801 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An elementary proof of the local Kronecker-Weber theorem Koenigsmann, Jochen Stock, Benedikt Number Theory We will present a novel elementary, self-contained, and explicit proof of the local Kronecker-Weber theorem. Apart from discrete valuation theory, it does not make use of any tools beyond those introduced in a second undergraduate course on algebra. In particular, we will not make use of results from local class field theory or Galois cohomology. |
| title | An elementary proof of the local Kronecker-Weber theorem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2206.05801 |