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Veech Groups and Translation Coverings

Name: Veech Groups and Translation Coverings
Brand: Karlsruher Institut Fur Technologie
SKU: 02559951
Price: 28.89 EUR
Availability: InStock
Author: Myriam Finster
ISBN: 9783731501800

Myriam Finster

Lingua

Inglese

Libro In brossura

Codice Libristo: 02559951

Casa editrice Karlsruher Institut Fur Technologie, settembre 2014

A translation surface is obtained by taking plane polygons and gluing their edges by translations. W... Descrizione completa

Codice Libristo: 02559951

71 b

28.89 €

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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.