Introduction to Holomorphic Functions of Several Variables, Volume II - Local Theory

This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

List 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

About the author

Gunning, R.C.

Summary

This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

Product details

• Authors: R C Gunning, R. C. Gunning, R.C. Gunning, Robert C. Gunning
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 30.09.2020
• EAN: 9780367450793
• ISBN: 978-0-367-45079-3
• No. of pages: 238
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Complex Analysis, Probability & statistics, Complex analysis, complex variables, Probability and statistics