English

Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces

Complex Variables 2017-01-23 v1

Abstract

We prove that the space of dominant/non-constant holomorphic mappings from a product of hyperbolic Riemann surfaces of finite type into certain hyperbolic manifolds with universal cover a bounded domain is a finite set.

Keywords

Cite

@article{arxiv.1701.05692,
  title  = {Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces},
  author = {Divakaran Divakaran and Jaikrishnan Janardhanan},
  journal= {arXiv preprint arXiv:1701.05692},
  year   = {2017}
}