The Equidistribution Theory of Holomorphic Curves

by Hung-Hsi Wu

Overview

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.

Product Details

ISBN-13:	9780691080734
Publisher:	Princeton University Press
Publication date:	02/21/1970
Series:	Annals of Mathematics Studies , #64
Pages:	250
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• INTRODUCTION, pg. vii
• CONTENTS, pg. xxiii
• Chapter I. Generalities on projective spaces and Grassmannians, pg. 1
• Chapter II. Nevanlinna theory of meromorphic functions, pg. 14
• Chapter III. Elementary properties of holomorphic curves, pg. 62
• Chapter IV. The two main theorems for holomorphic curves, pg. 81
• Chapter V. The defect relations, pg. 147
• References, pg. 217
• Index of principal definitions, pg. 219