Proper holomorphic mappings between hyperbolic product manifolds

Abstract

We prove a result on the structure of finite proper holomorphic mappings between complex manifolds that are products of hyperbolic Riemann surfaces. While an important special case of our result follows from the ideas developed by Remmert and Stein, the proof of the full result relies on the interplay of the latter ideas and a finiteness theorem for Riemann surfaces.

9 pages; small revisions in the abstract & on p. 1, which reflect better the major revision (in Thm. 1.5) made in v2

Cited by in corpus (2)

• Rigidity of holomorphic maps between fiber spaces
• Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces