Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

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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 between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 to the current state of research.Chapter 2 presents the First Main Theorem for coherent ideal sheaves in a very general form. With the preparatio...