1.

Record Nr.

UNINA9910254295503321

Autore

Kodaira Kunihiko

Titolo

Nevanlinna Theory / / by Kunihiko Kodaira

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-6787-2

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XI, 86 p. 30 illus.)

Collana

SpringerBriefs in Mathematics, , 2191-8198

Disciplina

515.35

Soggetti

Functions of complex variables

Algebraic geometry

Differential geometry

Several Complex Variables and Analytic Spaces

Algebraic Geometry

Differential Geometry

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Sommario/riassunto

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.