[PDF] Teichmüller curves defined by characteristic origamis PDF charorigamis.pdf

Frank Herrlich Abstract We study Introduction An origami is a Teichmüller curves, origamis, Veech groups, characteristic subgroups to an algebraic curve C(O) in the moduli space Mg of curves of genus g, called the origami curve

The image of the embedded upper half plane in the moduli space of Riemann surfaces is an affine algebraic curve, possibly with singularities; it is called the

[PDF] Teichmüller curves defined by characteristic origamis

[PDF] Dessins denfants and Origami curves Frank Herrlich and Gabriela

The study of dessins d'enfants leads to the Grothendieck-Teichmüller group in Section 5 gives an introduction to origamis and explains how they define curves in the moduli space Mg of smooth algebraic curves of genus g We call them

[PDF] Monodromy Representations and Lyapunov Exponents of Origamis

In Chapter 2 we give an overview of the basic concepts lation surfaces, Teichmüller curves, moduli spaces, and origamis This Dr Frank Herrlich and Prof

[PDF] An Algorithm for Finding the Veech Group of an Origami

We study the Veech group of an origami, i e , of a translation surface, tessellated by Teichmüller space Tg,n, where g is the genus of S This construction is 1For a more detailled overview see e g , [Leli`evre 02] by Frank Herrlich ) Hence

[PDF] SHIMURA- AND TEICHM¨ULLER CURVES Introduction A

A Teichmüller curve is an algebraic curve C → Mg in the moduli space of curves, which is the image of The author thanks Frank Herrlich, Gabi Schmitthüsen and Eckart Viehweg for many They are called square-tiled coverings or origamis

[PDF] [PDF] Teichmüller curves defined by characteristic origamis

[PDF] Introduction to Origamis in Teichmüller Space Frank Herrlich