Finiteness results for Teichmueller curves
代数几何
2007-05-23 v1 几何拓扑
摘要
We show that for each genus there are only finitely many algebraically primitive Teichmueller curves C, such that i) C lies in the hyperelliptic locus and ii) C is generated by an abelian differential with two zeros of order g-1. We prove moreover that for these Teichmueller curves the trace field of the affine group is not only totally real but cyclotomic.
引用
@article{arxiv.math/0509079,
title = {Finiteness results for Teichmueller curves},
author = {Martin Moeller},
journal= {arXiv preprint arXiv:math/0509079},
year = {2007}
}