Geometry of Holomorphic Mappings
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 bo...
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| Format: | Elektroniczne E-book |
| Język: | angielski |
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Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2023.
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| Wydanie: | 1st ed. 2023. |
| Seria: | Frontiers in Mathematics,
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| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.1007/978-3-031-37149-3 |
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| 100 | 1 | |a Pinchuk, Sergey. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Geometry of Holomorphic Mappings |h [electronic resource] / |c by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2023. | |
| 300 | |a XI, 213 p. 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
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| 490 | 1 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 1 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 700 | 1 | |a Shafikov, Rasul. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Sukhov, Alexandre. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031371486 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031371509 |
| 830 | 0 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-37149-3 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||