Invariant forms on complex manifolds with application to holomorphic mappings

1983 ◽  
Vol 265 (3) ◽  
pp. 377-397 ◽  
Author(s):  
Eric Bedford
Keyword(s):  
Holomorphic Mappings ◽  
Complex Manifolds

scholarly journals Proper holomorphic mappings between hyperbolic product manifolds

2014 ◽  
Vol 25 (04) ◽  
pp. 1450039 ◽  
Author(s):  
Jaikrishnan Janardhanan
Keyword(s):  
Riemann Surfaces ◽  
Holomorphic Mappings ◽  
Complex Manifolds ◽  
Finiteness Theorem ◽  
Important Special Case ◽  
Full Result ◽  
Hyperbolic Riemann Surfaces ◽  
Special Case ◽  
Proper Holomorphic Mappings

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.

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