The classifying element for quotients of Fermat curves
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910412877856768 |
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| author | Duque-Rosero, Juanita Pries, Rachel |
| author_facet | Duque-Rosero, Juanita Pries, Rachel |
| contents | Suppose $C$ is a cyclic Galois cover of the projective line branched at the three points $0$, $1$, and $\infty$. Under a mild condition on the ramification, we determine the structure of the graded Lie algebra of the lower central series of the fundamental group of $C$ in terms of a basis which is well-suited to studying the action of the absolute Galois group of $\mathbb{Q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07710 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The classifying element for quotients of Fermat curves Duque-Rosero, Juanita Pries, Rachel Number Theory 11D41, 11G32, 14F35, 14H30, 17B70 (primary) 11F06, 11F67, 11G30, 13A50, 14F20 (secondary) Suppose $C$ is a cyclic Galois cover of the projective line branched at the three points $0$, $1$, and $\infty$. Under a mild condition on the ramification, we determine the structure of the graded Lie algebra of the lower central series of the fundamental group of $C$ in terms of a basis which is well-suited to studying the action of the absolute Galois group of $\mathbb{Q}$. |
| title | The classifying element for quotients of Fermat curves |
| topic | Number Theory 11D41, 11G32, 14F35, 14H30, 17B70 (primary) 11F06, 11F67, 11G30, 13A50, 14F20 (secondary) |
| url | https://arxiv.org/abs/2312.07710 |