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Nevanlinna Theory

  • Kunihiko Kodaira

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Kunihiko Kodaira
    Pages 1-18
  3. Kunihiko Kodaira
    Pages 19-38
  4. Kunihiko Kodaira
    Pages 39-52
  5. Kunihiko Kodaira
    Pages 53-83
  6. Back Matter
    Pages 85-86

About this book

Introduction

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.

Keywords

Schwarz--Kobayashi’s lemma hyperbolic measure first main theorem second main theorem Bieberbach’s example MSC (2010): 32A22, 32H25, 32H30

Authors and affiliations

  • Kunihiko Kodaira
    • 1
  1. 1.TokyoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-6787-7
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-6786-0
  • Online ISBN 978-981-10-6787-7
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site