Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

• Main Authors: Noguchi, Junjiro (Author), Winkelmann, Jörg (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2014.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 350
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Number theory.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.; Algebraic Geometry.; Number Theory.

The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with nine chapters systematically describes Nevanlinna theory of meromorphic maps bet...

Table of Contents:

• Nevanlinna Theory of Meromorphic Functions
• First Main Theorem
• Differentiably Non-Degenerate Meromorphic Maps
• Entire Curves into Algebraic Varieties
• Semi-Abelian Varieties
• Entire Curves into Semi-Abelian Varieties
• Kobayashi Hyperbolicity
• Nevanlinna Theory over Function Fields
• Diophantine Approximation
• Bibliography
• Index
• Symbols.