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A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgroups are the Veech group of a covering surface. We also address the coverings via their monodromy groups and present examples of cyclic coverings in short orbits, i.e. with large Veech groups.

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DETAILS

  • Veech Groups and Translation Coverings
  • Finster, Myriam
  • Kartoniert, VII, 150 S.
  • graph. Darst.
  • Sprache: Englisch
  • 21 cm
  • ISBN-13: 978-3-7315-0180-0
  • Titelnr.: 45546496
  • Gewicht: 287 g
  • KIT Scientific Publishing (2014)
  • Herstelleradresse

    KIT Scientific Publishing

    Strasse am Forum 2

    76131 - DE Karlsruhe

    E-Mail: info@ksp.kit.edu

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