书目名称 | Geometry of Holomorphic Mappings | 编辑 | Sergey Pinchuk,Rasul Shafikov,Alexandre Sukhov | 视频video | | 概述 | Emphasizes geometric methods, such as the Scaling method and the Reflection principle.Features improved and simplified proofs of important results.Offers a unified treatment theory of boundary behavio | 丛书名称 | Frontiers in Mathematics | 图书封面 |  | 描述 | .This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this book is to introduce the reader to some of these approaches and to demonstrate how they can be used in the context of boundary properties of holomorphic maps. The authors present substantial results concerning holomorphic mappings in several complex variables with improved and often simplified proofs. Emphasis is placed on geometric methods, including the Kobayashi metric, the Scaling method, Segre varieties, and the Reflection principle. ..Geometry of Holomorphic Mappings. will provide a valuable resource for PhD students in complex analysis and complex geometry; it will also be of interest to researchers in these areas as a reference.. | 出版日期 | Book 2023 | 关键词 | holomorphic mappings; boundary regularity; analytic continuation; invariant metrics; Segre varieties; ref | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-37149-3 | isbn_softcover | 978-3-031-37148-6 | isbn_ebook | 978-3-031-37149-3Series ISSN 1660-8046 Series E-ISSN 1660-8054 | issn_series | 1660-8046 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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