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Geometry of Holomorphic Mappings / by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov
(Frontiers in Mathematics. ISSN:16608054)

1st ed. 2023.
出版者 Cham : Springer Nature Switzerland : Imprint: Birkhäuser
出版年 2023
本文言語 英語
大きさ XI, 213 p. 2 illus. in color : online resource
著者標目 *Pinchuk, Sergey author
Shafikov, Rasul author
Sukhov, Alexandre author
SpringerLink (Online service)
件 名 LCSH:Functions of complex variables
FREE:Several Complex Variables and Analytic Spaces
FREE:Functions of a Complex Variable
一般注記 Chapter. 1. Preliminaries -- Chapter. 2. Why boundary regularity? -- Chapter. 3. Continuous extension of holomorphic mappings -- Chapter. 4. Boundary smoothness of holomorphic mappings -- Chapter. 5. Proper holomorphic mappings -- Chapter. 6. Uniformization of domains with large automorphism groups -- Chapter. 7. Local equivalence of real analytic hypersurfaces -- Chapter. 8. Geometry of real hypersurfaces: analytic continuation -- Chapter. 9. Segre varieties -- Chapter. 10. Holomorphic correspondences -- Chapter. 11. Extension of proper holomorphic mappings -- Chapter. 12. Extension in C2 -- Appendix -- Bibliography -- Index
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
HTTP:URL=https://doi.org/10.1007/978-3-031-37149-3
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データ種別 電子ブック
分 類 LCC:QA331.7
DC23:515.94
書誌ID 4001072039
ISBN 9783031371493

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