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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2002
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0205314 |
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Table of 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.