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- Author: Myriam Finster
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3731501805
- ISBN-13: 9783731501800
- Format: 14.8 x 21 x 0.8 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
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Description
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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- Author: Myriam Finster
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3731501805
- ISBN-13: 9783731501800
- Format: 14.8 x 21 x 0.8 cm, softcover
- Language: English English
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.
Reviews