A positive density of elliptic curves are diophantine stable in certain Galois extensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912757018787840 |
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| author | Ray, Anwesh Shingavekar, Pratiksha |
| author_facet | Ray, Anwesh Shingavekar, Pratiksha |
| contents | Let $p \in \{3, 5\}$ and consider a cyclic $p$-extension $L/\mathbb{Q}$. We show that there exists an effective positive density of elliptic curves $ E $ defined over $ \mathbb{Q} $, ordered by height, that are diophantine stable in $ L $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A positive density of elliptic curves are diophantine stable in certain Galois extensions Ray, Anwesh Shingavekar, Pratiksha Number Theory 11G05, 11R45, 11R34 Let $p \in \{3, 5\}$ and consider a cyclic $p$-extension $L/\mathbb{Q}$. We show that there exists an effective positive density of elliptic curves $ E $ defined over $ \mathbb{Q} $, ordered by height, that are diophantine stable in $ L $. |
| title | A positive density of elliptic curves are diophantine stable in certain Galois extensions |
| topic | Number Theory 11G05, 11R45, 11R34 |
| url | https://arxiv.org/abs/2406.12561 |