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Several Complex Variables VII : Sheaf-Theoretical Methods in Complex Analysis - H. Grauert

Several Complex Variables VII

Sheaf-Theoretical Methods in Complex Analysis

By: H. Grauert (Editor), Thomas Peternell (Editor), R. Remmert (Editor)

Hardcover

Published: 1st June 1994
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This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like semi-normal complex spaces, cohomology, the Levi problem, q-convexity and q-concavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields.

Contents: Introduction; I. Local Theory of Complex Spaces by R.Remmert, II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces by Th.Peternell and R.Remmert; III. Cohomology by Th.Peternell; IV. Seminormal Complex Spaces by G.Dethloff and H.Grauert; V. Pseudoconvexity, the Levi Problem and Vanishing Theorems by Th.Peternell; VI. Theory of q-Convesity and q-Concavity by H.Grauert; VII. Modifications by Th.Peternell; VIII. Cycle Spaces by F.Campana and Th.Peternell; IX. Extensions of Analytic Objects by H.Grauert and R.Remmert; Author Index, Subject Index

ISBN: 9783540562597
ISBN-10: 3540562591
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 372
Published: 1st June 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.57