Introduction to Holomorphic Functions of Several Variables, Volume II  book cover
1st Edition

Introduction to Holomorphic Functions of Several Variables, Volume II

ISBN 9780367450793
Published December 18, 2020 by Chapman and Hall/CRC
218 Pages

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Book 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 ℂn 16. Meromorphic Functions on Varieties 17. Normal Varieties 18. Normalization of Varieties

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Gunning, R.C.