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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Frontiers in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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