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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.13606 |
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| _version_ | 1866909584221798400 |
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| author | Tsouknidas, Ioannis |
| author_facet | Tsouknidas, Ioannis |
| contents | Let $F/K$ be a finite Galois totally & wildly ramified extension of complete discrete valuation fields. We say that the extension has the Hasse-Arf property if the ramification jumps in upper numbering are integers. We give necessary defining equations for $F$ in terms of the ramification jumps. In order for the Hasse-Arf property to hold, these equations become very strict. We prove that the last assertion is an equivalence condition, thus in terms of these defining equations, the Hasse-Arf property becomes an equivalence condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Hasse-Arf property of local fields Tsouknidas, Ioannis Number Theory 11S15, 11S20 Let $F/K$ be a finite Galois totally & wildly ramified extension of complete discrete valuation fields. We say that the extension has the Hasse-Arf property if the ramification jumps in upper numbering are integers. We give necessary defining equations for $F$ in terms of the ramification jumps. In order for the Hasse-Arf property to hold, these equations become very strict. We prove that the last assertion is an equivalence condition, thus in terms of these defining equations, the Hasse-Arf property becomes an equivalence condition. |
| title | On the Hasse-Arf property of local fields |
| topic | Number Theory 11S15, 11S20 |
| url | https://arxiv.org/abs/2504.13606 |