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Nevanlinna Theory

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Nevanlinna Theory 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.

About This Edition

ISBN: 9789811067860
Publication date:
Author: Kunihiko Kodaira
Publisher: Springer an imprint of Springer Nature Singapore
Format: Paperback
Pagination: 86 pages
Series: SpringerBriefs in Mathematics
Genres: Complex analysis, complex variables
Differential and Riemannian geometry
Algebraic geometry