Nevanlinna Theory

✍ Scribed by Kunihiko Kodaira (auth.)

• Publisher: Springer Singapore
• Year: 2017
• Tongue: English
• Leaves: 93
• Series: SpringerBriefs in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.

✦ Table of Contents

Front Matter ....Pages i-xi
Nevanlinna Theory of One Variable (1) (Kunihiko Kodaira)....Pages 1-18
Schwarz–Kobayashi Lemma (Kunihiko Kodaira)....Pages 19-38
Nevanlinna Theory of One Variable (2) (Kunihiko Kodaira)....Pages 39-52
Nevanlinna Theory of Several Variables (Kunihiko Kodaira)....Pages 53-83
Back Matter ....Pages 85-86

✦ Subjects

Several Complex Variables and Analytic Spaces