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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Veech Groups and Translation Coverings

Veech Groups and Translation Coverings

Finster, Myriam

Paperback

Geometry

ISBN10: 3731501805
ISBN13: 9783731501800
Publisher: Karlsruher Institut Fur Techn
Published: Sep 3 2014
Pages: 152
Weight: 0.42
Height: 0.33 Width: 5.83 Depth: 8.27
Language: 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.

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