@article{MR2605539,
  abstract = { We give a criterion, based on the automorphism group, for certain cyclic covers of the projective line to be defined over their field of moduli. An example of a cyclic cover of the complex projective line with field of moduli ℝ that can not be defined over ℝ is given.},
  file = {BordeauxArticle.pdf},
  mrclass = {14H37 (14H30)},
  mrnumber = {2605539 (2011b:14065)},
  issn = {1246-7405},
  number = {3},
  year = {2009},
  url = {http://jtnb.cedram.org/item?id=JTNB_2009__21_3_679_0},
  author = {Kontogeorgis, Aristides},
  mrreviewer = {Meirav Topol},
  pages = {679--692},
  volume = {21},
  fjournal = {Journal de Th\'eorie des Nombres de Bordeaux},
  journal = {J. Th\'eor. Nombres Bordeaux},
  title = {Field of moduli versus field of definition for cyclic covers of the projective line}
}