Introduction to Holomorphic Functions of Several Variables: Local Theory

ISBN-13: 9780367450793 / Angielski / Miękka / 2020 / 218 str.

R. C. Gunning

Opis

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.

Spis treści

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

O autorze

Gunning, R.C.