An algorithm for finding the Veech group of an origami

Details An algorithm for finding the Veech group of an origami An algorithm for finding the Veech group of an origami

2004-01-15

arxiv.org/abs/math/0401185v1

Mathematics

Algebraic Geometry

17 pages, 1 figure

Scientific paper

We study the Veech group of an origami, i.e. of a translation surface,
tessellated by parallelograms. We show that it is isomorphic to the image of a
certain subgroup of Aut(F_2) in SL_2(Z) = Out^+(F_2). Based on this we present
an algorithm that determines the Veech group.

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