Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
Work
Year: 2007
Type: article
Abstract: We apply a study of orders in quaternion algebras, to the differential geometry of Riemann surfaces.The least length of a closed geodesic on a hyperbolic surface is called its systole, and denoted sys... more
Source: Journal of Differential Geometry
Authors Mikhail G. Katz, Mary Schaps, Uzi Vishne
Cites: 44
Cited by: 83
Related to: 10
FWCI: 6.732
Citation percentile (by year/subfield): 99.97
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze