Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

"I consider this book as extremely helpful both for research and teaching in this area, since it does not only give a self-contained access to some of the deep original research results of the two authors, but it also always discusses the limits and the side aspects of these results by relevant examples, respectively counter-examples, and puts them into its historic contexts, which allows a much deeper understanding than if one just would see the main results." (Gerd Dethloff, zbMATH 1337.32004, 2016) "The book under review gives a panoramic survey of Nevanlinna's theory of valued distribution and Diophantine approximation in several complex variables. ... The book is addressed to researchers and graduate students, and an interested reader will be rewarded with a clear exposition of classical and recent progress in this active area of mathematics." (Felipe Zaldivar, MAA Reviews, April, 2014)

• 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