Some aspects of holomorphic mappings: A survey
Sergey PinchukDepartment of Mathematics, Indiana University, Rawles Hall, 831 E. Third St., Bloomington, IN, 47405, USARasul ShafikovDepartment of Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, CanadaAlexandre SukhovUFR de Mathématiques, Université de Lille et Sciences et Technologies, 59655, Villeneuve d’Ascq Cedex, France
2017en
ABI
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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Cited by 20 references