Genus two Veech surfaces arising from general quadratic differentials
几何拓扑
2007-05-23 v1
摘要
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.
引用
@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}
}
备注
19 pages