Translations of Mathematical Monographs 1990; 282 pp; softcover Volume: 80 Reprint/Revision History: reprinted with corrections 1997; third printing 1999 ISBN10: 0821845330 ISBN13: 9780821845332 List Price: US$98 Member Price: US$78.40 Order Code: MMONO/80
 This is an expanded Englishlanguage 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 selfcontained 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 selfcontained 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  Hyperbolic manifolds
 Measure hyperbolic manifolds
 Positive currents and plurisubharmonic functions
 Meromorphic mappings
 Nevanlinna theory
 Value distribution of holomorphic curves
