Email this article Some aspects of holomorphic mappings: A survey
- Authors: Pinchuk S.1, Shafikov R.1, Sukhov A.2
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Affiliations:
- Department of Mathematics
- UFR de Mathématiques
- Issue: Vol 298, No 1 (2017)
- Pages: 212-247
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175033
- DOI: https://doi.org/10.1134/S0081543817060153
- ID: 175033
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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.
About the authors
Sergey Pinchuk
Department of Mathematics
Author for correspondence.
Email: pinchuk@indiana.edu
United States, Rawles Hall, 831 E. Third St., Bloomington, IN, 47405
Rasul Shafikov
Department of Mathematics
Email: pinchuk@indiana.edu
Canada, London, Ontario, N6A 5B7
Alexandre Sukhov
UFR de Mathématiques
Email: pinchuk@indiana.edu
France, Villeneuve d’Ascq Cedex, 59655
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