• Medientyp: E-Book; Elektronische Hochschulschrift; Sonstige Veröffentlichung; Dissertation
  • Titel: Veech Groups and Translation Coverings
  • Beteiligte: Finster, Myriam [VerfasserIn]
  • Erschienen: KIT-Bibliothek, Karlsruhe, 2013-01-01
  • Sprache: Englisch
  • DOI: https://doi.org/10.5445/IR/1000036365
  • Schlagwörter: regular polygons ; Mathematics ; cyclic covering ; monodromy group ; translation covering ; Veech group ; congruence subgroup
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  • Beschreibung: 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.
  • Zugangsstatus: Freier Zugang