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Geometry of holomorphic mappings

Pinchuk, Sergey.

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Geometry of holomorphic mappings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry of holomorphic mappings/ by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov.
Author:	Pinchuk, Sergey.
other author:	Shafikov, Rasul.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xi, 213 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Holomorphic mappings. -
Online resource:	https://doi.org/10.1007/978-3-031-37149-3
ISBN:	9783031371493

Geometry of holomorphic mappings
Pinchuk, Sergey.

Geometry of holomorphic mappings[electronic resource] /by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov. - Cham :Springer Nature Switzerland :2023. - xi, 213 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

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.

ISBN: 9783031371493

Standard No.: 10.1007/978-3-031-37149-3doiSubjects--Topical Terms:

699810
Holomorphic mappings.

LC Class. No.: QA331 / .P56 2023

Dewey Class. No.: 515.98

Geometry of holomorphic mappings
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100 1 $a Pinchuk, Sergey. $3 3666735
245 1 0 $a Geometry of holomorphic mappings $h [electronic resource] / $c by Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xi, 213 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Holomorphic mappings. $3 699810
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Functions of a Complex Variable. $3 897310
700 1 $a Shafikov, Rasul. $3 3666736
700 1 $a Sukhov, Alexandre. $3 3666737
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-031-37149-3
950 $a Mathematics and Statistics (SpringerNature-11649)