On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915194126467072 |
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| author | Shii, Ryota |
| author_facet | Shii, Ryota |
| contents | Let $E$ be an elliptic curve defined over $\mathbb{Q}$ with supersingular reduction at $p \geq 5$, and $K$ be an imaginary quadratic field such that $p$ is inert in $K/\mathbb{Q}$. In this paper, we prove the analogous of the ``weak'' Mazur--Tate refined conjecture for an anticyclotomic tower over $K$ using the result by A. Burungale--K. Büyükboduk--A. Lei. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes Shii, Ryota Number Theory Let $E$ be an elliptic curve defined over $\mathbb{Q}$ with supersingular reduction at $p \geq 5$, and $K$ be an imaginary quadratic field such that $p$ is inert in $K/\mathbb{Q}$. In this paper, we prove the analogous of the ``weak'' Mazur--Tate refined conjecture for an anticyclotomic tower over $K$ using the result by A. Burungale--K. Büyükboduk--A. Lei. |
| title | On the Mazur--Tate refined conjecture for the anticyclotomic tower at inert primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2503.09034 |