A origami of genus 2 with a translation

2008/05/13 by Frank Herrlich, Herrlich, Frank, André Kappes +3
Engineering · Mathematics · #14H10 #14H30 #32G15 #Advanced Differential Equations and Dynamical Systems #Advanced Materials and Mechanics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14H10 #msc:14H30 #msc:32G15

paper · pdf · doi:10.48550/arxiv.0805.1865

19 pages, 9 figures

arxiv created 2008/05/13 · openalex publication_date 2008/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study an example of a Teichmueller curve in the moduli space of algebraic curves of genus 2 coming from an origami S. It is particular in that its points admit the Klein four group as a subgroup of the automorphism group. We give an explicit description of its points in terms of affine plane curves, we show that the Teichmueller curve is a nonsingular, affine curve of genus 0 and we determine the number of cusps in the boundary of the moduli space.

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