A characterization of ramification groups of local fields with imperfect residue field
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909337523322880 |
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| author | Saito, Takeshi |
| author_facet | Saito, Takeshi |
| contents | We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian extensions defined in different ways. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_03770 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A characterization of ramification groups of local fields with imperfect residue field Saito, Takeshi Number Theory 11S15 We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian extensions defined in different ways. |
| title | A characterization of ramification groups of local fields with imperfect residue field |
| topic | Number Theory 11S15 |
| url | https://arxiv.org/abs/2004.03770 |