The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64
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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

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ISBN-13:
9781400881901
Veröffentl:
2016
Einband:
Web PDF
Seiten:
250
Autor:
Hung-his Wu
Serie:
64, Annals of Mathematics Studies
eBook Typ:
PDF
eBook Format:
Reflowable Web PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:

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.

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.

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