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The Equidistribution Theory of Holomorphic Curves

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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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780691080734
  • Indbinding:
  • Paperback
  • Sideantal:
  • 250
  • Udgivet:
  • 21. februar 1970
  • Størrelse:
  • 152x229x14 mm.
  • Vægt:
  • 369 g.
  • 8-11 hverdage.
  • 20. november 2024

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Beskrivelse af The Equidistribution Theory of Holomorphic Curves

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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