# Subvarieties of the Hyperelliptic Moduli Determined by Group Actions

Serdica Mathematical Journal (2006)

- Volume: 32, Issue: 4, page 355-374
- ISSN: 1310-6600

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topShaska, T.. "Subvarieties of the Hyperelliptic Moduli Determined by Group Actions." Serdica Mathematical Journal 32.4 (2006): 355-374. <http://eudml.org/doc/281475>.

@article{Shaska2006,

abstract = {2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22.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.},

author = {Shaska, T.},

journal = {Serdica Mathematical Journal},

keywords = {Hyperelliptic Curves; Automorphism Groups; hyperelliptic curves; automorphism groups},

language = {eng},

number = {4},

pages = {355-374},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Subvarieties of the Hyperelliptic Moduli Determined by Group Actions},

url = {http://eudml.org/doc/281475},

volume = {32},

year = {2006},

}

TY - JOUR

AU - Shaska, T.

TI - Subvarieties of the Hyperelliptic Moduli Determined by Group Actions

JO - Serdica Mathematical Journal

PY - 2006

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 32

IS - 4

SP - 355

EP - 374

AB - 2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22.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.

LA - eng

KW - Hyperelliptic Curves; Automorphism Groups; hyperelliptic curves; automorphism groups

UR - http://eudml.org/doc/281475

ER -

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