The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / Hung-his Wu.

Format:

Book

Author/Creator:

Wu, Hung-his, author.

Series:

Annals of mathematics studies ; no. 64.

Annals of Mathematics Studies ; 254

Language:

English

Subjects (All):

Value distribution theory.

Analytic functions.

Functions, Meromorphic.

Physical Description:

1 online resource (252 pages) : illustrations.

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.

Contents:

Frontmatter

PREFACE

INTRODUCTION

CONTENTS

Chapter I. Generalities on projective spaces and Grassmannians

Chapter II. Nevanlinna theory of meromorphic functions

Chapter III. Elementary properties of holomorphic curves

Chapter IV. The two main theorems for holomorphic curves

Chapter V. The defect relations

References

Index of principal definitions

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881901

1400881900

OCLC:

979780957