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Titlebook: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation; Junjiro Noguchi,J?rg Winkelmann Book 2014 Springer Japan 201

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發(fā)表于 2025-3-21 17:30:27 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
編輯Junjiro Noguchi,J?rg Winkelmann
視頻videohttp://file.papertrans.cn/665/664719/664719.mp4
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
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation;  Junjiro Noguchi,J?rg Winkelmann Book 2014 Springer Japan 201
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
關(guān)鍵詞32H30, 32Q45, 11J25, 11J97; Diophantine Approximation; Kobayashi Hyperbolicity; Nevanlinna Theory in Hi
版次1
doihttps://doi.org/10.1007/978-4-431-54571-2
isbn_softcover978-4-431-56213-9
isbn_ebook978-4-431-54571-2Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Japan 2014
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:03:52 | 只看該作者
Entire Curves in Algebraic Varieties,ry of holomorphic curves in . .(.) should skip Sect.?. and are recommended to read Sect.?., assuming that holomorphic curves are linearly non-degenerate and the given hyperplanes are in general position; in this case, .=., .(.)=1, and ..
板凳
發(fā)表于 2025-3-22 02:57:48 | 只看該作者
Diophantine Approximation,. As an application we will prove some theorems on rational points which are analogous to those obtained in Chaps.?. and?.; the analogy will be observed not only in the statements but also in their proofs.
地板
發(fā)表于 2025-3-22 08:00:54 | 只看該作者
5#
發(fā)表于 2025-3-22 08:58:56 | 只看該作者
Nevanlinna Theory over Function Fields,ory of complex numbers by transcendental meromorphic functions. This brought a new viewpoint to the both theories and has activated their research. The theory over algebraic function fields is considered to be situated in the middle of them.
6#
發(fā)表于 2025-3-22 14:25:08 | 只看該作者
7#
發(fā)表于 2025-3-22 18:09:48 | 只看該作者
Differentiably Non-degenerate Meromorphic Maps,y different to the Nevanlinna–Weyl–Ahlfors theory extended by W. Stoll, and was very fresh. The theory has been generalized in various ways, including the case of meromorphic mappings, applications have been developed, and a new phase was brought into the value distribution theory.
8#
發(fā)表于 2025-3-23 01:09:02 | 只看該作者
0072-7830 The contents include materials that cannot be easily found i.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 syste
9#
發(fā)表于 2025-3-23 03:39:37 | 只看該作者
Junjiro Noguchi,J?rg WinkelmannThis 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
10#
發(fā)表于 2025-3-23 06:48:02 | 只看該作者
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