Veech Groups and Translation Coverings

• Huvudskapare: Finster, Myriam (auth)
• Materialtyp: Elektronisk Bokavsnitt
• Språk: engelska
• Publicerad: KIT Scientific Publishing 2013
• Ämnen: cyclic covering; monodromy group; Kongruenzgruppe; zyklische Überlagerung; Translationsüberlagerung; translation coveringVeechgruppe; congruence subgroup; Monodromiegruppe; Veech group
• Länkar: DOAB: download the publication; DOAB: description of the publication

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...