$p$-Ordinary Part of Hyperbolic Cycles on Modular Curves
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910067581779968 |
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| author | Bekki, Hohto Sakamoto, Ryotaro |
| author_facet | Bekki, Hohto Sakamoto, Ryotaro |
| contents | In this paper, we study hyperbolic cycles in the first homology group with local coefficients of congruence subgroups of $\mathrm{SL}_2(\mathbb{Z})$. We prove that, for any prime number $p$, the $p$-ordinary part of the first homology group is generated by hyperbolic cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21945 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $p$-Ordinary Part of Hyperbolic Cycles on Modular Curves Bekki, Hohto Sakamoto, Ryotaro Number Theory In this paper, we study hyperbolic cycles in the first homology group with local coefficients of congruence subgroups of $\mathrm{SL}_2(\mathbb{Z})$. We prove that, for any prime number $p$, the $p$-ordinary part of the first homology group is generated by hyperbolic cycles. |
| title | $p$-Ordinary Part of Hyperbolic Cycles on Modular Curves |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.21945 |