Genus two Veech surfaces arising from general quadratic differentials
Geometric Topology
2007-05-23 v1
Abstract
We study Veech surfaces of genus 2 arising from quadratic differentials that are not squares of abelian differentials. We prove that all such surfaces of type (2,2) and (2,1,1) are arithmetic. In (1,1,1,1) case, we reduce the question to abelian differentials of type (2,2) on hyperelliptic genus 3 surfaces with singularities at Weierstrass points, and we give an example of a non-arithmetic Veech surface.
Cite
@article{arxiv.math/0504180,
title = {Genus two Veech surfaces arising from general quadratic differentials},
author = {Sergey Vasilyev},
journal= {arXiv preprint arXiv:math/0504180},
year = {2007}
}
Comments
19 pages