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Stein Manifolds and Holomorphic Mappings

von Franc Forstneri¿ und Franc Forstnerič
Softcover - 9783319869940
181,89 €
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Hardcover - 9783319610573
181,89 €

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Weitere Formate

Hardcover - 9783319610573
181,89 €

Beschreibung

This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.
Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in 2009. It explores connections with elliptic complex geometry initiated by Gromov in 1989, with the Andersén-Lempert theory of holomorphic automorphisms of complex Euclidean spaces and of Stein manifolds with the density property, and with topological methods such as homotopy theory and the Seiberg-Witten theory.
Researchers and graduate students interested in the homotopy principle in complex analysis will find this book particularly useful. It is currently the only work that offers a comprehensive introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups.

The Homotopy Principle in Complex Analysis

The Homotopy Principle in Complex Analysis

Details

Verlag Springer International Publishing
Ersterscheinung August 2018
Maße 23.5 cm x 15.5 cm
Gewicht 867 Gramm
Format Softcover
ISBN-13 9783319869940
Auflage Softcover reprint of the original 2nd ed. 2017
Seiten 562