Quotients of hyperelliptic curves and etale cohomology
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866909986831990784 |
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| author | Dokchitser, Tim Dokchitser, Vladimir |
| author_facet | Dokchitser, Tim Dokchitser, Vladimir |
| contents | We study hyperelliptic curves C with an action of an affine group of automorphisms G. We establish a closed form expression for the quotient curve C/G and for the first etale cohomology group of C as a representation of G. The motivation comes from the arithmetic of hyperelliptic curves over local fields, specifically their local Galois representations and the associated invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1510_08880 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Quotients of hyperelliptic curves and etale cohomology Dokchitser, Tim Dokchitser, Vladimir Number Theory 11G30, 14F20, 14H37, 11G20 We study hyperelliptic curves C with an action of an affine group of automorphisms G. We establish a closed form expression for the quotient curve C/G and for the first etale cohomology group of C as a representation of G. The motivation comes from the arithmetic of hyperelliptic curves over local fields, specifically their local Galois representations and the associated invariants. |
| title | Quotients of hyperelliptic curves and etale cohomology |
| topic | Number Theory 11G30, 14F20, 14H37, 11G20 |
| url | https://arxiv.org/abs/1510.08880 |