Veech Groups and Translation Coverings
Finster, Myriam
Veech Groups and Translation Coverings - KIT Scientific Publishing 2013 - 1 electronic resource (X, 136 p. p.)
Open Access
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.
Creative Commons
English
KSP/1000038927 9783731501800
10.5445/KSP/1000038927 doi
cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group
Veech Groups and Translation Coverings - KIT Scientific Publishing 2013 - 1 electronic resource (X, 136 p. p.)
Open Access
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.
Creative Commons
English
KSP/1000038927 9783731501800
10.5445/KSP/1000038927 doi
cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group