| 书目名称 | Nevanlinna Theory in Several Complex Variables and Diophantine Approximation |
| 编辑 | Junjiro Noguchi,Jörg Winkelmann |
| 视频video | |
| 概述 | This is an important state-of-the-art book on Nevanlinna theory in higher dimension and the relations with Diophantine approximation theory.The contents include materials that cannot be easily found i |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | .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 isa 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 |
| 出版日期 | Book 2014 |
| 关键词 | 32H30, 32Q45, 11J25, 11J97; Diophantine Approximation; Kobayashi Hyperbolicity; Nevanlinna Theory in Hi |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-4-431-54571-2 |
| isbn_softcover | 978-4-431-56213-9 |
| isbn_ebook | 978-4-431-54571-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer Japan 2014 |
发表于 2025-3-21 17:30:27
