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Geometric Function Theory in Several Complex Variables
 
Junjiro Noguchi Tokyo Institute of Technology, Tokyo, Japan
Takushiro Ochiai University of Tokyo, Tokyo, Japan
Geometric Function Theory in Several Complex Variables
eBook ISBN:  978-1-4704-4494-5
Product Code:  MMONO/80.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Geometric Function Theory in Several Complex Variables
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Geometric Function Theory in Several Complex Variables
Junjiro Noguchi Tokyo Institute of Technology, Tokyo, Japan
Takushiro Ochiai University of Tokyo, Tokyo, Japan
eBook ISBN:  978-1-4704-4494-5
Product Code:  MMONO/80.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 801990; 282 pp
    MSC: Primary 32

    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.

    Readership

  • Table of Contents
     
     
    • Chapters
    • Hyperbolic manifolds
    • Measure hyperbolic manifolds
    • Positive and plurisubharmonic functions
    • Meromorphic mappings
    • Nevanlinna theory
    • Value distribution of holomorphic curves
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 801990; 282 pp
MSC: Primary 32

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.

Readership

  • Chapters
  • Hyperbolic manifolds
  • Measure hyperbolic manifolds
  • Positive and plurisubharmonic functions
  • Meromorphic mappings
  • Nevanlinna theory
  • Value distribution of holomorphic curves
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.