2 papers
math.CV2024
Holomorphic functions on geometrically finite quotients of the ball
William Sarem
Let be a discrete and torsion-free subgroup of , the group of biholomorphisms of the unit ball in , denoted by .…
math.CV2023
Curvature properties and Shafarevich conjecture for toroidal compactifications of ball quotients
William Sarem
We study toroidal compactifications of finite volume complex hyperbolic manifolds. We obtain results on the existence or nonexistence of Kähler metrics satisfying certain nonpositi…