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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.09301 |
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| _version_ | 1866916275141214208 |
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| author | Petrov, Alexander |
| author_facet | Petrov, Alexander |
| contents | We prove that any semi-simple representation of the Galois group of a number field coming from geometry appears as a subquotient of the ring of regular functions on the pro-algebraic completion of the fundamental group of the projective line with $3$ punctures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_09301 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Universality of the Galois action on the fundamental group of $\mathbb{P}^1\setminus\{0,1,\infty\}$ Petrov, Alexander Number Theory Algebraic Geometry 14F35, 11F80 (Primary) We prove that any semi-simple representation of the Galois group of a number field coming from geometry appears as a subquotient of the ring of regular functions on the pro-algebraic completion of the fundamental group of the projective line with $3$ punctures. |
| title | Universality of the Galois action on the fundamental group of $\mathbb{P}^1\setminus\{0,1,\infty\}$ |
| topic | Number Theory Algebraic Geometry 14F35, 11F80 (Primary) |
| url | https://arxiv.org/abs/2109.09301 |