Arithmetic quantum local systems over the moduli of curves
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913653148614656 |
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| author | Oh, Gyujin |
| author_facet | Oh, Gyujin |
| contents | We construct an arithmetic analogue of the quantum local systems on the moduli of curves, and study its basic structure. Such an arithmetic local system gives rise to a uniform way of assigning a Galois cohomology class of the first geometric étale cohomology of a smooth proper curve over a number field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09377 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic quantum local systems over the moduli of curves Oh, Gyujin Number Theory Algebraic Geometry We construct an arithmetic analogue of the quantum local systems on the moduli of curves, and study its basic structure. Such an arithmetic local system gives rise to a uniform way of assigning a Galois cohomology class of the first geometric étale cohomology of a smooth proper curve over a number field. |
| title | Arithmetic quantum local systems over the moduli of curves |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2501.09377 |