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＜電子ブック＞
Geometry of Holomorphic Mappings / by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov
(Frontiers in Mathematics. ISSN:16608054)

版	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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