000			02210 a2200241 4500
999			_c2644 _d2644
005			20240923110049.0
008			240923b ||||| |||| 00| 0 eng d
020			_a9783031371486
041			_aeng
082			_a515.98 PIN/G
100			_aPinchuk, Sergey _99770
100			_aShafikov, Rasul _99771
100			_aSukhov, Alexandre _99772
245			_aGeometry of holomorphic mappings
260			_b(Springer) -- _c2023 _aunited States of America --
300			_axi, 213p.
500			_aChapter. 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.
650			_aMathematics _99773
650			_aAnalysis _98165
650			_aHolomorphic mappings _99774
942			_cBK