Kodaira, Kunihiko. Nevanlinna Theory [electronic resource] / / by Kunihiko Kodaira.. — 1st ed. 2017.. — XI, 86 p. 30 illus. : online resource. — (SpringerBriefs in Mathematics,) 2191-8198. - SpringerBriefs in Mathematics, .
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Анотація: This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.
9789811067877
10.1007/978-981-10-6787-7 doi
Functions of complex variables. Algebraic geometry. Differential geometry. Several Complex Variables and Analytic Spaces. Algebraic Geometry. Differential Geometry.