The Equidistribution Theory of Holomorphic Curves

Hung-Hsi Wu (Autor)

Buch | Softcover

250 Seiten

1970
Princeton University Press (Verlag)
978-0-691-08073-4 (ISBN)

Artikel merken

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.

*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

Erscheint lt. Verlag	21.2.1970
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	369 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-691-08073-9 / 0691080739
ISBN-13	978-0-691-08073-4 / 9780691080734
Zustand	Neuware