TY  - GEN
AU  - Finster,Myriam
TI  - Veech Groups and Translation Coverings
SN  - KSP/1000038927
PY  - 2013///
PB  - KIT Scientific Publishing
KW  - cyclic covering
KW  - monodromy group
KW  - Kongruenzgruppe
KW  - zyklische Überlagerung
KW  - Translationsüberlagerung
KW  - translation coveringVeechgruppe
KW  - congruence subgroup
KW  - Monodromiegruppe
KW  - Veech group
N1  - Open Access
N2  - 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
UR  - https://www.ksp.kit.edu/9783731501800
UR  - https://directory.doabooks.org/handle/20.500.12854/61886
ER  -