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The equidistribution theory of holomorphic curves.
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Princeton, N.J.,
Princeton University Press,
1970.
|
| Series: | Annals of mathematics studies ;
no. 64. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Cover; Title; Copyright; CONTENTS; Preface; Introduction; Chapter I. Generalities on projective spaces and Grassmannians ; 1 The Fubini-Study metric ; 2 Basic facts about Grassmannians ; 3 Elementary inequalities ; Chapter II. Nevanlinna theory of meromorphic functions ; 1 The proximity function.
- 2 Holomorphic mappings into the Riemann sphere 3 The nonintegrated main theorems ; 4 Harmonic exhaustion and the integrated main theorems ; 5 Two useful facts ; 6 The defect relation ; Chapter III. Elementary properties of holomorphic curves.
- 1 Holomorphic curves induced by a system of holomorphic functions 2 Nondegeneracy ; 3 Associated curves ; 4 Projection curves ; 5 Contracted curves of the first kind ; 6 Contracted curve of the second kind ; Chapter IV. The two main theorems for holomorphic curves.
- 1 The nonintegrated first main theorem 2 The integrated first main theorem ; 3 The FMT of rank k ; 4 The generalized FMT and two inequalities ; 5 The nonintegrated second main theorem and PIücker's formulas; 6 The integrated second main theorem ; 7 The SMT of rank k ; Chapter V. The defect relations; 1 A basic theorem on integration over PnC.
- 2 The fundamental inequality 3 The fundamental inequality of arbitrary rank ; 4 Proof of the defect relations ; 5 Applications ; References ; Index of principal definitions.