A origami of genus 2 with a translation
Algebraic Geometry
2008-05-14 v1
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.
Keywords
Cite
@article{arxiv.0805.1865,
title = {A origami of genus 2 with a translation},
author = {Frank Herrlich and André Kappes and Gabriela Schmithüsen},
journal= {arXiv preprint arXiv:0805.1865},
year = {2008}
}
Comments
19 pages, 9 figures