Geodesic curves on Shimura surfaces
Geometric Topology
2015-06-11 v1 Group Theory
Number Theory
Abstract
We parametrize the commensurability classes of curves on Shimura surfaces that are totally geodesic, i.e., the commensurability classes of so-called -Fuchsian subgroups. In particular, if a Shimura surface contains one commensurability class of totally geodesic curves, it contains infinitely many.
Keywords
Cite
@article{arxiv.1506.03299,
title = {Geodesic curves on Shimura surfaces},
author = {Ted Chinburg and Matthew Stover},
journal= {arXiv preprint arXiv:1506.03299},
year = {2015}
}
Comments
This is broken off from our previous work arxiv:1105.1154