Veech Groups and Translation Coverings
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 subgr...
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| Format: | Book Chapter |
| Published: |
KIT Scientific Publishing
2013
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| Subjects: | |
| Online Access: | Get Fullteks DOAB: description of the publication |
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| Summary: | 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. |
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| Physical Description: | 1 electronic resource (X, 136 p. p.) |
| ISBN: | KSP/1000038927 9783731501800 |
| Access: | Open Access |