TY - BOOK ID - 100313642 TI - Veech Groups and Translation Coverings PY - 2013 SN - 1000038927 3731501805 PB - KIT Scientific Publishing DB - UniCat KW - cyclic covering KW - monodromy group KW - Kongruenzgruppe KW - zyklische Überlagerung KW - Translationsüberlagerung KW - translation coveringVeechgruppe KW - congruence subgroup KW - Monodromiegruppe KW - Veech group UR - https://www.unicat.be/uniCat?func=search&query=sysid:100313642 AB - 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. ER -