Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912346530643968 |
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| author | Lemma, Francesco Ochiai, Tadashi |
| author_facet | Lemma, Francesco Ochiai, Tadashi |
| contents | We extend Kato explicit reciprocity law, in the version written by Scholl, for a modular curve to a product of two modular curves. By embedding the product of two modular curves in the Siegel threefold, we deduce an explicit reciprocity law for the unique critical twist of the $p$-adic Galois representation attached to cuspidal Siegel modular forms of weight $(3,3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$ Lemma, Francesco Ochiai, Tadashi Number Theory We extend Kato explicit reciprocity law, in the version written by Scholl, for a modular curve to a product of two modular curves. By embedding the product of two modular curves in the Siegel threefold, we deduce an explicit reciprocity law for the unique critical twist of the $p$-adic Galois representation attached to cuspidal Siegel modular forms of weight $(3,3)$. |
| title | Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2504.18304 |