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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| Autor principal: | |
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| Formato: | Electrónico Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
KIT Scientific Publishing
2013
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| Materias: | |
| Acceso en línea: | DOAB: download the publication DOAB: description of the publication |
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| Sumario: | 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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| Descripción Física: | 1 electronic resource (X, 136 p. p.) |
| ISBN: | KSP/1000038927 9783731501800 |
| Acceso: | Open Access |