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Nevanlinna Theory in Several Complex Variables and Diophantine Approximation (Grundlehren der mathematischen Wissenschaften Book 350) by Junjiro Noguchi, Jrg Winkelmann, Jörg Winkelmann is a nonfiction available to read on EtoBox.
What is Nevanlinna Theory in Several Complex Variables and Diophantine Approximation (Grundlehren der mathematischen Wissenschaften Book 350) about?
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 preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension is described. In Chap. 3 the Second Main Theorem for differentiably non-degenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem for entire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Cartan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraic varieties are proved. Then the theory of enti
Who reads Nevanlinna Theory in Several Complex Variables and Diophantine Approximation (Grundlehren der mathematischen Wissenschaften Book 350)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Junjiro Noguchi, Jrg Winkelmann, Jörg Winkelmann
- Publisher
- Springer Japan, Imprint Springer
- Published
- 2014
- Language
- EN
- ISBN
- 9784431545712
- Category
- nonfiction
- Subjects
- Mathematics, Number Theory, Stem
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