On the Equation of an Origami of Genus two with two Cusps
An origami is a compact Riemann surface provided with a flat structure that comes from a covering map to a torus. Affine variations of the flat structure lead to a family of compact Riemann surfaces whose base is an algebraic curve in the moduli space, called Teichmueller curve. The main aim of this thesis is to discuss a specific example of an origami in genus 2, and to give an explicity algebraic description for the Teichmueller curve, which by construction is an analytic object. To this end, a summary of the theory of Riemann surfaces with focus on hyperelliptic surfaces, as well as an introduction to translation surfaces, Teichmueller curves and origamis is also included.
|Zugehörige Institution(en) am KIT
||Institut für Algebra und Geometrie (IAG)
KITopen ID: 1000028955
||Abschlussarbeit - Diplom
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