Some aspects of holomorphic mappings: A survey
- Авторы: Pinchuk S.1, Shafikov R.1, Sukhov A.2
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Учреждения:
- Department of Mathematics
- UFR de Mathématiques
- Выпуск: Том 298, № 1 (2017)
- Страницы: 212-247
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175033
- DOI: https://doi.org/10.1134/S0081543817060153
- ID: 175033
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Аннотация
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.
Об авторах
Sergey Pinchuk
Department of Mathematics
Автор, ответственный за переписку.
Email: pinchuk@indiana.edu
США, Rawles Hall, 831 E. Third St., Bloomington, IN, 47405
Rasul Shafikov
Department of Mathematics
Email: pinchuk@indiana.edu
Канада, London, Ontario, N6A 5B7
Alexandre Sukhov
UFR de Mathématiques
Email: pinchuk@indiana.edu
Франция, Villeneuve d’Ascq Cedex, 59655
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