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The locus of curves with prescribed automorphism group

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 نشر من قبل Tony Shaska
 تاريخ النشر 2002
  مجال البحث
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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.



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