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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.01219 |
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| _version_ | 1866916344400707584 |
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| author | Lai, Shilin Skinner, Christopher |
| author_facet | Lai, Shilin Skinner, Christopher |
| contents | We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anti-cyclotomic Euler system of diagonal cycles Lai, Shilin Skinner, Christopher Number Theory We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those representations. |
| title | Anti-cyclotomic Euler system of diagonal cycles |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.01219 |