Stein Manifolds and Holomorphic Mappings

Stein Manifolds and Holomorphic Mappings
Author :
Publisher : Springer Science & Business Media
Total Pages : 501
Release :
ISBN-10 : 9783642222504
ISBN-13 : 3642222501
Rating : 4/5 (501 Downloads)

Book Synopsis Stein Manifolds and Holomorphic Mappings by : Franc Forstnerič

Download or read book Stein Manifolds and Holomorphic Mappings written by Franc Forstnerič and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.


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