12 citations · 62 across the 26 of their papers we have counts for
8 papers · 1 filter
Bielliptic ball quotient compactifications and lattices in PU(2, 1) with finitely generated commutator subgroup
Luca F. Di Cerbo, Matthew Stover
We construct two infinite families of ball quotient compactifications birational to bielliptic surfaces. For each family, the volume spectrum of the associated noncompact finite vo…
Parametrizing Shimura subvarieties of Shimura varieties and related geometric problems
Benjamin Linowitz, Matthew Stover
This paper gives a complete parametrization of the commensurability classes of totally geodesic subspaces of irreducible arithmetic quotients of $X_{a, b} = (\mathbf{H}^2)^a \times…
Constructing Geometrically Equivalent Hyperbolic Orbifolds
D. B. McReynolds, Jeffrey S. Meyer, Matthew Stover
In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant o…
Geodesic curves on Shimura surfaces
Ted Chinburg, Matthew Stover
We parametrize the commensurability classes of curves on Shimura surfaces that are totally geodesic, i.e., the commensurability classes of so-called -Fuchsian subgroups…
Cusp and growth for ball quotients and maps onto with finitely generated kernel
Matthew Stover
Let be a smooth ball quotient of finite volume with first betti number and let be the number of cusps (i.e., topological ends…
Classification and arithmeticity of toroidal compactifications with
Luca F. Di Cerbo, Matthew Stover
We classify the minimum volume smooth complex hyperbolic surfaces that admit smooth toroidal compactifications, and we explicitly construct their compactifications. There are five…