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Title: Subvarieties of the Hyperelliptic Moduli Determined by Group Actions
Authors: Shaska, T.
Keywords: Hyperelliptic Curves
Automorphism Groups
Issue Date: 2006
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 32, No 4, (2006), 355p-374p
Abstract: Let Hg be the moduli space of genus g hyperelliptic curves. In this note, we study the locus Hg (G,σ) in Hg of curves admitting a G-action of given ramification type σ and inclusions between such loci. For each genus we determine the list of all possible groups, the inclusions among the loci, and the corresponding equations of the generic curve in Hg (G, σ). The proof of the results is based solely on representations of finite subgroups of PGL2 (C) and the Riemann-Hurwitz formula.
Description: 2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22.
ISSN: 1310-6600
Appears in Collections:Volume 32, Number 4

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