
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 |

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 |
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Book DetailsTranslations of Mathematical MonographsVolume: 80; 1990; 282 ppMSC: 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
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Chapters
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Hyperbolic manifolds
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Measure hyperbolic manifolds
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Positive and plurisubharmonic functions
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Meromorphic mappings
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Nevanlinna theory
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Value distribution of holomorphic curves
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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.
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Chapters
-
Hyperbolic manifolds
-
Measure hyperbolic manifolds
-
Positive and plurisubharmonic functions
-
Meromorphic mappings
-
Nevanlinna theory
-
Value distribution of holomorphic curves