On the refined `Birch--Swinnerton-Dyer type' conjectures of Mazur and Tate
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915609834422272 |
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| author | Bullach, Dominik Honnor, Matthew H. L. |
| author_facet | Bullach, Dominik Honnor, Matthew H. L. |
| contents | We prove a substantial part of conjectures of Mazur and Tate that refine the conjecture of Birch and Swinnerton-Dyer. Our approach, which also leads to some results even finer than the predictions of Mazur and Tate, is via the `rank-zero component' of the relevant case of the equivariant Tamagawa Number conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the refined `Birch--Swinnerton-Dyer type' conjectures of Mazur and Tate Bullach, Dominik Honnor, Matthew H. L. Number Theory 11G40, 11R23, 12G05 We prove a substantial part of conjectures of Mazur and Tate that refine the conjecture of Birch and Swinnerton-Dyer. Our approach, which also leads to some results even finer than the predictions of Mazur and Tate, is via the `rank-zero component' of the relevant case of the equivariant Tamagawa Number conjecture. |
| title | On the refined `Birch--Swinnerton-Dyer type' conjectures of Mazur and Tate |
| topic | Number Theory 11G40, 11R23, 12G05 |
| url | https://arxiv.org/abs/2511.07203 |