Veech Groups and Translation Coverings

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 subgr...

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Bibliografische gegevens
Hoofdauteur: Finster, Myriam (auth)
Formaat: Elektronisch Hoofdstuk
Taal:Engels
Gepubliceerd in: KIT Scientific Publishing 2013
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Samenvatting: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.
Fysieke beschrijving:1 electronic resource (X, 136 p. p.)
ISBN:KSP/1000038927
9783731501800
Toegang:Open Access