The Equidistribution Theory of Holomorphic Curves. (AM-64) PDF (Adobe DRM) download by Hung-his Wu

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

Princeton University Press
Publication date: March 2016
ISBN: 9781400881901
Digital Book format: PDF (Adobe DRM)

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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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