On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912399653601280 |
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| author | Forrás, Ben Müller, Katharina |
| author_facet | Forrás, Ben Müller, Katharina |
| contents | Let $E/\mathbb{Q}$ be an elliptic curve and let $p\ge 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integrality results for characteristic elements of signed Selmer groups along the cyclotomic $\mathbb{Z}_p$-extension of weakly ramified base fields $K/\mathbb{Q}_p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields Forrás, Ben Müller, Katharina Number Theory 11G05, 11R23 Let $E/\mathbb{Q}$ be an elliptic curve and let $p\ge 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integrality results for characteristic elements of signed Selmer groups along the cyclotomic $\mathbb{Z}_p$-extension of weakly ramified base fields $K/\mathbb{Q}_p$. |
| title | On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields |
| topic | Number Theory 11G05, 11R23 |
| url | https://arxiv.org/abs/2407.08430 |