The locus of curves with prescribed automorphism group
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2002
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| _version_ | 1866910851055747072 |
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| author | Magaard, K. Shaska, T. Shpectorov, S. Voelklein, H. |
| author_facet | Magaard, K. Shaska, T. Shpectorov, S. Voelklein, H. |
| contents | Let G be a finite group, and $g \geq 2$. We study the locus of genus g curves that admit a G-action of given type, and inclusions between such loci. We use this to study the locus of genus g curves with prescribed automorphism group G. We completely classify these loci for g=3 (including equations for the corresponding curves), and for $g \leq 10$ we classify those loci corresponding to "large" G. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0205314 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | The locus of curves with prescribed automorphism group Magaard, K. Shaska, T. Shpectorov, S. Voelklein, H. Algebraic Geometry Group Theory 14H37 Let G be a finite group, and $g \geq 2$. We study the locus of genus g curves that admit a G-action of given type, and inclusions between such loci. We use this to study the locus of genus g curves with prescribed automorphism group G. We completely classify these loci for g=3 (including equations for the corresponding curves), and for $g \leq 10$ we classify those loci corresponding to "large" G. |
| title | The locus of curves with prescribed automorphism group |
| topic | Algebraic Geometry Group Theory 14H37 |
| url | https://arxiv.org/abs/math/0205314 |