01690nam 2200409z- 450 9910347054403321202102121000038927(CKB)4920000000101972(oapen)https://directory.doabooks.org/handle/20.500.12854/61886(oapen)doab61886(EXLCZ)99492000000010197220202102d2013 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierVeech Groups and Translation CoveringsKIT Scientific Publishing20131 online resource (X, 136 p. p.)3-7315-0180-5 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.congruence subgroupcyclic coveringKongruenzgruppeMonodromiegruppemonodromy grouptranslation coveringVeechgruppeTranslationsüberlagerungVeech groupzyklische ÜberlagerungFinster Myriamauth1328628BOOK9910347054403321Veech Groups and Translation Coverings3038747UNINA