Veech groups of Loch Ness monsters
Piotr Przytycki, Gabriela Schmithuesen, Ferran Valdez
Number | 56 |
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Author | Jose Ferran Valdez-Lorenzo |
Project | B09 |
Year | 2009 |
We classify Veech groups of tame non-compact flat surfaces. In particular we prove that all countable subgroups of GL+(2,R) avoiding the set of mappings of norm less than 1 appear as Veech groups of tame non-compact flat surfaces which are Loch Ness monsters. Conversely, a Veech group of any tame flat surface is either countable, or one of three specific types.