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URN: urn:nbn:de:swb:90-363659

Veech Groups and Translation Coverings

Finster, Myriam

Abstract:
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.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Hochschulschrift
Jahr 2013
Sprache Englisch
Identifikator KITopen ID: 1000036365
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Algebra und Geometrie (IAG)
Prüfungsdaten 10.07.2013
Referent/Betreuer JProf. G. Weitze-Schmithüsen
URLs Verlagsausgabe
Schlagworte Veech group, congruence subgroup, monodromy group, cyclic covering, regular polygons, translation covering
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