Several complex variables 03

The First Contribution Describes Basic Concepts, Facts And Problems Of The Modern Theory Of Entire Functions Of Several Complex Variables. The Second Contribution Deals With Analogies Of Basic Nevanlinna's Theorems About The Distribution Of Values In The Multidimensional Case And Various Applications. The Third Contribution Is Devoted To Invariant Metrics And Volumes And Their Applications In Problems Of Function Theory Of Several Variables. The Fourth Contribution Touches Upon Various Results Concerning The Rigidity Of Holomorphic Mappings Of Complex Spaces Beginnning With Classical Liouville's And Picard's Theorems. Contribution Five Presents Results Concerning Extension Of Holomorphic Mappings To The Boundaries Of Domains, And Results About Correspondence Of Boundaries And Equivalence Of Domains With Respect To Biholomorphic Mappings. Contribution Six Dwells On The Problem Of Biholomorphic Equivalence Of Manifolds In This Differential Geometric Aspect. The Last Contribution Reviews Applications Of Multidimensional Complex Geometry In Modern Physical Theories - Supergravitation And Supergauge Fields. This Volume Will Be Useful To Complex Analysts And Physicists. It Is Rounded Off By An Extensive Bibliography. G.m. Khenkin (ed.). Translation Of: Kompleksnyĭ Analiz-mnogie Peremennye 3. Includes Bibliography And Indexes Offers an introduction and a survey of the theory of complex spaces, an important subject in the theory of several complex variables. Written by experts who have developed substantial parts of the field, this book is useful for graduates, researchers in complex analysis, algebraic and differential geometry, and also, mathematical physicists. This volume consists of five parts. The first presents a discussion of some facts of complex analysis. The other contributions offer surveys in integral representation theory, complex analytic sets, holomorphic mappings and geometry of surfaces, and multidimensional residue theory.