E-Book, Englisch, 250 Seiten
Wu The Equidistribution Theory of Holomorphic Curves
1. Auflage 2016
ISBN: 978-1-4008-8190-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, 250 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8190-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
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
