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Geometry of Holomorphic Mappings (Frontiers in Mathematics) by Pinchuk, Sergey, Shafikov, Rasul, Sukhov, Alexandre is a nonfiction available to read on EtoBox.

What is Geometry of Holomorphic Mappings (Frontiers in Mathematics) about?

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.

Who reads Geometry of Holomorphic Mappings (Frontiers in Mathematics)?

Author

Pinchuk, Sergey, Shafikov, Rasul, Sukhov, Alexandre

Publisher

Birkhäuser

Published

2024

Language

EN

ISBN

9783031371486

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem