Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces

2017/01/20 by Divakaran Divakaran, Divakaran, Divakaran, Jaikrishnan Janardhanan +1
Mathematics · #32H20 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1701.05692

openalex publication_date 2017/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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