Seminar

We study a certain class of translation surfaces called p-origamis. These surfaces arise as normal covers of the torus with p-groups as deck group. The goal is to classify the types of singularities of p-origamis and to show that these depend in most cases only on the isomorphism class of the deck group. I describe a way to compute the Veech groups of p-origamis. These groups are finite index subgroups of SL(2,Z) and are related to the Teichmüller curves defined by the SL(2,R)-orbits of the surfaces. For certain example series of p-origamis I discuss properties of their Veech groups.