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Veech groups of Loch Ness monsters

Piotr Przytycki, Gabriela Schmithuesen, Ferran Valdez

Number 56
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.

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