Veech Groups and Translation Coverings

• Autore: Finster Myriam
• Pubblicazione: KIT Scientific Publishing, 2013
• Descrizione fisica: 1 electronic resource (X, 136 p. p.)
• Soggetto non controllato: cyclic covering; monodromy group; Kongruenzgruppe; zyklische Überlagerung; Translationsüberlagerung; translation coveringVeechgruppe; congruence subgroup; Monodromiegruppe; Veech group
• Sommario/riassunto: 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.
• Titolo autorizzato: Veech Groups and Translation Coverings
• ISBN: 1000038927
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910347054403321
• Lo trovi qui: Univ. Federico II