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Geometric Function Theory in Several Complex Variables
Junjiro Noguchi, Tokyo Institute of Technology, Japan, and Takushiro Ochiai, University of Tokyo, Japan

Translations of Mathematical Monographs
1990; 282 pp; softcover
Volume: 80
Reprint/Revision History:
reprinted with corrections 1997; third printing 1999
ISBN-10: 0-8218-4533-0
ISBN-13: 978-0-8218-4533-2
List Price: US$98
Member Price: US$78.40
Order Code: MMONO/80
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This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at those who have already mastered the basics of complex function theory and the elementary theory of differential and complex manifolds. The second goal is to present, in a self-contained way, fundamental descriptions of the theory of positive currents, plurisubharmonic functions, and meromorphic mappings, which are today indispensable in the analytic and geometric theories of complex functions of several variables. The book should prove useful for researchers and graduate students alike.


Table of Contents

  • Hyperbolic manifolds
  • Measure hyperbolic manifolds
  • Positive currents and plurisubharmonic functions
  • Meromorphic mappings
  • Nevanlinna theory
  • Value distribution of holomorphic curves
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