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arxiv: 1701.05692 · v1 · pith:GHPV6I7Mnew · submitted 2017-01-20 · 🧮 math.CV

Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces

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keywords hyperbolicfiniteholomorphicmappingsriemannsurfacesboundedcertain
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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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