Maps between complex hyperbolic surfaces
The author studies examples of holomorphic mappings between complex hyperbolic surfaces that are not covering mappings. We note that, in this paper, a complex hyperbolic surface means a compact quotient of the unit ball in \(\mathbb{C}^2\). Those mappings induce homomorphisms on the fundamental groups that have infinite kernel. Hence those mappings give examples of the nonstandard homomorphisms found by Mostow, which is concerning super-rigidity. The author also studies singularities of those mappings.
scientific article; zbMATH DE number 1960047