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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.13648 |
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| _version_ | 1866917455093301248 |
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| author | Marannino, Luca |
| author_facet | Marannino, Luca |
| contents | We generalize the $p$-adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples $(f,g,h)$ of modular eigenforms where $f$ is a $p$-ordinary newform, while $g$ and $h$ are allowed to be (both) supercuspidal at $p$ or (both) ramified principal series at $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit reciprocity laws for diagonal classes: higher level cases Marannino, Luca Number Theory 11F67(Primary) 11G40 (Secondary) We generalize the $p$-adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples $(f,g,h)$ of modular eigenforms where $f$ is a $p$-ordinary newform, while $g$ and $h$ are allowed to be (both) supercuspidal at $p$ or (both) ramified principal series at $p$. |
| title | Explicit reciprocity laws for diagonal classes: higher level cases |
| topic | Number Theory 11F67(Primary) 11G40 (Secondary) |
| url | https://arxiv.org/abs/2402.13648 |