Local theory
著者
書誌事項
Local theory
（The Wadsworth & Brooks/Cole mathematics series, . Introduction to holomorphic functions of several variables ; v. 2）
Wadsworth & Brooks/Cole, c1990
- タイトル別名
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Analytic functions of several complex variable
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注記
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
内容説明・目次
内容説明
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.
目次
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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