English

An extraordinary origami curve

Algebraic Geometry 2007-05-23 v1

Abstract

We study a special Teichmueller curve in the moduli space of curves of genus 3 that is intersected by infinitely many other Teichmueller curves. The Veech group of the underlying translation surface is SL_2(Z). All occurring Teichmueller curves are induced by origamis, i.e. unramified coverings of the once punctured torus.

Keywords

Cite

@article{arxiv.math/0509195,
  title  = {An extraordinary origami curve},
  author = {Frank Herrlich and Gabriela Schmithuesen},
  journal= {arXiv preprint arXiv:math/0509195},
  year   = {2007}
}

Comments

18 pages, 11 figures