A Tower of Riemann Surfaces whose Bergman Kernels Jump at the Roof
A Tower of Riemann Surfaces whose Bergman Kernels Jump at the Roof
It is shown that, for any Fuchsian group Γ acting on the complex upper half plane \mathcal H such that \mathcal H/Γ is a compact hyperelliptic Riemann surface, there exists a sequence of subgroups Γ_n ⊂ Γ( n = 1, 2, \ldots) satisfying Γ_1 = Γ and \bigcap^∞_{n=1} Γ_n = …