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arXiv:1506.03299 [math.GT]AbstractReferencesReviewsResources

Geodesic curves on Shimura surfaces

Ted Chinburg, Matthew Stover

Published 2015-06-10Version 1

We parametrize the commensurability classes of curves on Shimura surfaces that are totally geodesic, i.e., the commensurability classes of so-called $\mathbb{C}$-Fuchsian subgroups. In particular, if a Shimura surface contains one commensurability class of totally geodesic curves, it contains infinitely many.

Comments: This is broken off from our previous work arxiv:1105.1154
Categories: math.GT, math.GR, math.NT
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