On pseudo-nullity of fine Mordell-Weil group
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911040079396864 |
|---|---|
| author | Lim, Meng Fai Qin, Chao Wang, Jun |
| author_facet | Lim, Meng Fai Qin, Chao Wang, Jun |
| contents | Let $E$ be an elliptic curve defined over $\mathbb{Q}$ with good ordinary reduction at a prime $p\geq 5$, and let $F$ be an imaginary quadratic field. Under appropriate assumptions, we show that the Pontryagin dual of the fine Mordell-Weil group of $E$ over the $\mathbb{Z}_p^2$-extension of $F$ is pseudo-null as a module over the Iwasawa algebra of the group $\mathbb{Z}_p^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On pseudo-nullity of fine Mordell-Weil group Lim, Meng Fai Qin, Chao Wang, Jun Number Theory Let $E$ be an elliptic curve defined over $\mathbb{Q}$ with good ordinary reduction at a prime $p\geq 5$, and let $F$ be an imaginary quadratic field. Under appropriate assumptions, we show that the Pontryagin dual of the fine Mordell-Weil group of $E$ over the $\mathbb{Z}_p^2$-extension of $F$ is pseudo-null as a module over the Iwasawa algebra of the group $\mathbb{Z}_p^2$. |
| title | On pseudo-nullity of fine Mordell-Weil group |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.03546 |