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arXiv · 1703.07243

Some aspects of holomorphic mappings: a survey

Sergey Pinchuk·Rasul Shafikov·Alexandre Sukhov
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Abstract

This expository paper is concerned with the properties of proper holomorphic mappings between domains in complex affine spaces. We discuss some of the main geometric methods of this theory, such as the Reflection Principle, the scaling method, and the Kobayashi-Royden metric. We sketch the proofs of certain principal results and discuss some recent achievements. Several open problems are also stated.

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Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov. 2017-03-21. Some aspects of holomorphic mappings: a survey. https://arxiv.org/abs/1703.07243

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