4 papers · 1 filter
Cusp cross-sections of low-dimensional arithmetic hyperbolic manifolds
Marcus Grimbert, Duncan McCoy, Connor Sell
We study which compact flat manifolds of dimensions occur as cusp cross-sections in commensurability classes of non-compact arithmetic hyperbolic -manifold…
Cusp cross-section phenomena for arithmetic hyperbolic manifolds
Duncan McCoy, Connor Sell
Although every flat manifold occurs as a cusp cross-section in at least one commensurability class of arithmetic hyperbolic manifolds, it turns out that some flat manifolds have th…
Nil 3-manifolds and cusps of complex hyperbolic surfaces
Julien Paupert, Connor Sell
McReynolds showed that every compact Nil 3-manifold occurs as the cusp cross-section of some arithmetic complex hyperbolic 2-manifold. We classify which commensurability classes of…
Cusp types of arithmetic hyperbolic manifolds
Duncan McCoy, Connor Sell
We establish necessary and sufficient conditions for determining when a flat manifold can occur as a cusp cross-section within a given commensurability class of cusped arithmetic h…