Veech Groups and Translation Coverings

Veech Groups and Translation Coverings
Author :
Publisher : KIT Scientific Publishing
Total Pages : 154
Release :
ISBN-10 : 9783731501800
ISBN-13 : 3731501805
Rating : 4/5 (805 Downloads)

Book Synopsis Veech Groups and Translation Coverings by : Finster, Myriam

Download or read book Veech Groups and Translation Coverings written by Finster, Myriam and published by KIT Scientific Publishing. This book was released on 2014 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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