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"Distribution of Values of Holomorphic Mappings" by B. V. Shabat

A vast literature has grown up around the value distribution theory of meromorphic functions, synthesized by Rolf Nevanlinna in the 1920s and singled out by Hermann Weyl as one of the greatest mathematical achievements of this century. The multidimensional aspect, involving the distribution of inverse images of analytic sets under holomorphic mappings of complex manifolds, has not been fully treated in the literature. This volume thus provides a valuable introduction to multivariate value distribution theory and a survey of some of its results, rich in relations to both algebraic and differential geometry and surely one of the most important branches of the modern geometric theory of functions of a complex variable. Since the book begins with preparatory material from the contemporary geometric theory of functions, only a familiarity with the elements of multidimensional complex analysis is necessary background to understand the topic. After proving the two main theorems of value distribution theory, the author goes on to investigate further the theory of holomorphic curves and to provide generalizations and applications of the main theorems, focusing chiefly on the work of Soviet mathematicians.

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	Technical Construction Distribution, Free Construction Distribution Magazine Subscription
	Science/Engineering Holomorphic Spaces Holomorphic SpacesCambridge University Press \| May 28, 1998 \| ISBN: 0521631939 \| 488 pages \| PDF \| 2.5 mbSpaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex a ...
	Science/Engineering Lectures on n-Dimensional Quasiconformal Mappings Author, "Lectures on n-Dimensional Quasiconformal Mappings" Jussi Väisälä \| 2009 \| ISBN: 3540056483 \| 336 pages \| Djvu \| 1,1 MB Not all books on AvaxHome appear on the homepage. In order not to miss many of them follow (see top ...
	Science/Engineering Manifolds of Differentiable Mappings Manifolds of Differentiable Mappings Publisher: Birkhauser \| ISBN: 0906812038 \| edition 1980 \| PDF \| 165 pages \| 14,77 mbThis book is devoted to the theory of manifolds of differentiable mappings and contains result which can be proved wit ...
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	Nonfiction Cusps of Gauss Mappings From the table of contents: Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, si ...

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