Bibliographic Information

Local theory

Robert C. Gunning

(The Wadsworth & Brooks/Cole mathematics series, . Introduction to holomorphic functions of several variables ; v. 2)

Wadsworth & Brooks/Cole, c1990

Other Title

Analytic functions of several complex variable

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Note

Revised version and complete rewriting of: Analytic functions of several complex variables, written by the author and Hugo Rossi

Bibliography: p. 213-215

Includes index

Description and Table of Contents

Description

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.

Table of Contents

1. Local Rings of Holomorphic Functions 2. Holomorphic Varieties and Subvarieties 3. Finite Branched Holomorphic Coverings 4. Local Parametrization of Holomorphic Varieties 5. Some Applications of Local Parametrization 6. Oka's Theorem 7. Dimension 8. Holomorphic Functions on Varieties 9. Tangent Spaces 10. Holomorphic Vector Fields and Differential Equations 11. Holomorphic Extensions 12. Holomorphic Mappings 13. Projective Spaces 14. Proper Holomorphic Mappings and Modifications 15. Meromorphic Functions in n 16. Meromorphic Functions on Varieties 17. Normal Varieties 18. Normalization of Varieties

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