An Algorithm for Finding the Veech Group of an Origami

Schmithüsen, Gabriela

Experiment. Math., Tome 13 (2004) no. 1, p. 459-472 / Harvested from Project Euclid

Résumé

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 {\small $\aut^+(F_2)$ in $\slzwei(\ZZ) \cong \out^+(F_2)$}. Based on this, we present an algorithm that determines the Veech group.

Publié le : 2004-05-14
Classification: Teichmüller curves, Veech groups, Origami, 14H10, 14H30, 53C10

@article{1109106438,
     author = {Schmith\"usen, Gabriela},
     title = {An Algorithm for Finding the Veech Group of an Origami},
     journal = {Experiment. Math.},
     volume = {13},
     number = {1},
     year = {2004},
     pages = { 459-472},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1109106438}
}

Schmithüsen, Gabriela. An Algorithm for Finding the Veech Group of an Origami. Experiment. Math., Tome 13 (2004) no. 1, pp.  459-472. http://gdmltest.u-ga.fr/item/1109106438/