Subvarieties of the Hyperelliptic Moduli Determined by Group Actions

Shaska, 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 -