Rubin's conjecture on local units in the anticyclotomic tower at inert primes: $p=3$ case
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910806356000768 |
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| author | Yan, Xiaojun Zhu, Xiuwu |
| author_facet | Yan, Xiaojun Zhu, Xiuwu |
| contents | We prove Rubin's conjecture on the structure of local units in the anticyclotomic $\mathbb{Z}_p$-extension of unramified quadratic extension of $\mathbb{Q}_p$ in $p=3$ case by extending Burungale-Kobayashi-Ota's work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09037 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rubin's conjecture on local units in the anticyclotomic tower at inert primes: $p=3$ case Yan, Xiaojun Zhu, Xiuwu Number Theory We prove Rubin's conjecture on the structure of local units in the anticyclotomic $\mathbb{Z}_p$-extension of unramified quadratic extension of $\mathbb{Q}_p$ in $p=3$ case by extending Burungale-Kobayashi-Ota's work. |
| title | Rubin's conjecture on local units in the anticyclotomic tower at inert primes: $p=3$ case |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.09037 |