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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22319 |
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| _version_ | 1866908498296569856 |
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| author | Hiranouchi, Toshiro |
| author_facet | Hiranouchi, Toshiro |
| contents | We investigate the structure of the higher Chow groups $CH^2(E,1)$ for an elliptic curve $E$ over a global function field $F$. Focusing on the kernel $V(E)$ of the push-forward map $CH^2(E,1)\to F^{\times}$ associated to the structure map $E\to \operatorname{Spec}(F)$, we analyze the torsion part $V(E)$ based on the mod $l$ Galois representations associated to the $l$-torsion points $E[l]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Hasse principle of the higher chow groups for an elliptic curve over a global function field Hiranouchi, Toshiro Number Theory We investigate the structure of the higher Chow groups $CH^2(E,1)$ for an elliptic curve $E$ over a global function field $F$. Focusing on the kernel $V(E)$ of the push-forward map $CH^2(E,1)\to F^{\times}$ associated to the structure map $E\to \operatorname{Spec}(F)$, we analyze the torsion part $V(E)$ based on the mod $l$ Galois representations associated to the $l$-torsion points $E[l]$. |
| title | A Hasse principle of the higher chow groups for an elliptic curve over a global function field |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.22319 |