2 papers
math.GT2026
On reflections of congruence hyperbolic manifolds
Sami Douba, Franco Vargas Pallete
We show that the standard method for constructing closed hyperbolic manifolds of arbitrary dimension possessing reflective symmetries typically produces reflections whose fixed poi…
math.DG2025
Upper bounds on Renormalized Volume for Schottky groups
Franco Vargas Pallete
In this article we show that for any given Riemann surface of genus , we can bound (from above) the renormalized volume of a (hyperbolic) Schottky group with boundary at in…