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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.12154 |
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| _version_ | 1866929683360120832 |
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| author | Chara, Maria Toledano, Ricardo |
| author_facet | Chara, Maria Toledano, Ricardo |
| contents | In a previous work general conditions were given to prove the infiniteness of the genus of certain towers of function fields over a perfect field. It was shown that many examples where particular cases of those general results. In this paper the genus of a family of wild towers of function fields will be considered together with a result with less restrictive sufficient conditions for a wild tower to have infinite genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12154 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A family of asymptotically bad wild towers of function fields Chara, Maria Toledano, Ricardo Number Theory Algebraic Geometry In a previous work general conditions were given to prove the infiniteness of the genus of certain towers of function fields over a perfect field. It was shown that many examples where particular cases of those general results. In this paper the genus of a family of wild towers of function fields will be considered together with a result with less restrictive sufficient conditions for a wild tower to have infinite genus. |
| title | A family of asymptotically bad wild towers of function fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2501.12154 |