Veech Groups and Translation Coverings

• Author(s): Finster, Myriam,
• Publisher: KIT Scientific Publishing
• Pages: 152
• ISBN_10: 3731501805
  ISBN_13: 9783731501800
  
• Language: en
• Categories: Mathematics / Geometry / General ,

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.