Finiteness Theorems for Products and Symmetric Products of Hyperbolic Riemann Surfaces

Divakaran Divakaran, Jaikrishnan Janardhanan

We prove that if $X=X_1\times \cdots \times X_n$ is a product of hyperbolic Riemann surfaces of finite type and $Y=\Omega /\Gamma$ is a complex manifold, where $\Omega$ is a bounded simply-con…