WorldCat Identities

Noguchi, Junjirō 1948-

Overview
Works: 53 works in 175 publications in 3 languages and 2,624 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, Translator, Inventor
Classifications: QA641, 515.94
Publication Timeline
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Most widely held works by Junjirō Noguchi
Prospects in complex geometry : proceedings of the 25th Taniguchi International Symposium held in Katata, and the conference held in Kyoto, July 31-August 9, 1989 by Junjirō Noguchi( Book )

25 editions published between 1991 and 2006 in English and Undetermined and held by 586 WorldCat member libraries worldwide

In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research
Nevanlinna theory in several complex variables and diophantine approximation by Junjirō Noguchi( )

5 editions published between 2013 and 2016 in English and held by 365 WorldCat member libraries worldwide

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 entire curves in semi-abelian varieties, including the Second Main Theorem of Noguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to the notion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are discussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt with from the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is discussed. Finally, in Chap. 9, the theorems of Roth, Schmidt, Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, 6, and 7
Geometry and analysis on manifolds : in memory of professor Shoshichi Kobayashi by Takushiro Ochiai( )

11 editions published in 2015 in English and held by 329 WorldCat member libraries worldwide

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi's career. This is followed by two expository course lectures (the second part) on recent topics in extremal Kähler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. Professor Shoshichi Kobayashi was a recognized international leader in the areas of differential and complex geometry. He contributed crucial ideas that are still considered fundamental in these fields. The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics. --Provided by publisher
Geometric function theory in several complex variables by Junjirō Noguchi( Book )

18 editions published between 1984 and 2008 in English and Undetermined and held by 327 WorldCat member libraries worldwide

This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at those who have already mastered the basics of complex function theory and the elementary theory of differential and complex manifolds. The second goal is to present, in a self-contained way, fundamental descriptions of the theory of positive currents, plurisubharmonic functions, and meromorphic mapp
Introduction to complex analysis by Junjirō Noguchi( Book )

16 editions published between 1997 and 1998 in English and held by 289 WorldCat member libraries worldwide

Analytic function theory of several variables : elements of Oka's coherence by Junjirō Noguchi( )

17 editions published between 2016 and 2018 in English and held by 238 WorldCat member libraries worldwide

The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert-Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a lowering of the level for novice graduate students (here, Grauert's direct image theorem is limited to the case of finite maps). The core of the theory is "Oka's Coherence", found and proved by Kiyoshi Oka. It is indispensable, not only in the study of complex analysis and complex geometry, but also in a large area of modern mathematics. In this book, just after an introductory chapter on holomorphic functions (Chap. 1), we prove Oka's First Coherence Theorem for holomorphic functions in Chap. 2. This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later. The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap. 2); Oka-Cartan's Fundamental Theorem (Chap. 4); Coherence of ideal sheaves of complex analytic subsets (Chap. 6); Coherence of the normalization sheaves of complex spaces (Chap. 6); Grauert's Finiteness Theorem (Chaps. 7, 8); Oka's Theorem for Riemann domains (Chap. 8). The theories of sheaf cohomology and domains of holomorphy are also presented (Chaps. 3, 5). Chapter 6 deals with the theory of complex analytic subsets. Chapter 8 is devoted to the applications of formerly obtained results, proving Cartan-Serre's Theorem and Kodaira's Embedding Theorem. In Chap. 9, we discuss the historical development of "Coherence". It is difficult to find a book at this level that treats all of the above subjects in a completely self-contained manner. In the present volume, a number of classical proofs are improved and simplified, so that the contents are easily accessible for beginning graduate students
Nevanlinna theory in several complex variables and diophantine approximation by Junjirō Noguchi( Book )

7 editions published in 2014 in English and held by 153 WorldCat member libraries worldwide

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 entire curves in semi-abelian varieties, including the Second Main Theorem of Noguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to the notion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are discussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt with from the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is discussed. Finally, in Chap.9, the theorems of Roth, Schmidt, Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, 6, and 7
Geometry and analysis on complex manifolds : festschrift for Professor S. Kobayashi's 60th birthday( Book )

8 editions published between 1994 and 1995 in English and held by 147 WorldCat member libraries worldwide

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992. The principal theme of this volume is "Geometry and Analysis on Complex Manifolds". It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kahler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kahler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions
Geometric complex analysis : third international research institute of Mathematical Society of Japan, Hayama, Japan, 19-29 March 1995 by Nihon Sūgakkai( Book )

9 editions published in 1996 in English and Undetermined and held by 99 WorldCat member libraries worldwide

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation by Junjirō Noguchi( )

5 editions published in 2014 in English and held by 15 WorldCat member libraries worldwide

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 entire curves in semi-abelian varieties, including the Second Main Theorem of Noguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to the notion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are discussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt with from the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is discussed. Finally, in Chap. 9, the theorems of Roth, Schmidt, Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, 6, and 7
Geometry and analysis on complex manifolds : festschrift for s kobayashi's 60th birthday by Junjirō Noguchi( )

1 edition published in 1994 in English and held by 6 WorldCat member libraries worldwide

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992. The principal theme of this volume is "Geometry and Analysis on Complex Manifolds". It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or no
Geometric Complex Analysis - Proceedings of the Third International Research Institute of Mathematical Society of Japan by Junjirō Noguchi( )

1 edition published in 1996 in English and held by 4 WorldCat member libraries worldwide

Fukuso kaiseki gairon( Book )

1 edition published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide

Geometry and Analysis on Manifolds In Memory of Professor Shoshichi Kobayashi by Takushiro Ochiai( )

1 edition published in 2015 in English and held by 4 WorldCat member libraries worldwide

Tahensu Kaiseki Kansuron by Junjirō Noguchi( )

1 edition published in 2016 in English and held by 3 WorldCat member libraries worldwide

The second main theorem for holomorphic curves into semi-abelian varieties by Junjirō Noguchi( Book )

2 editions published in 2004 in English and held by 3 WorldCat member libraries worldwide

Abstract: "We establish the second main theorem with the best truncation level one T[subscript f](r;L(D̄)) [<or =] N₁(r;f*D) + [epsilon]T[subscript f](r)[parallel][subscript epsilon] for an entire holomorphic curve f : C -> A into a semi-abelian variety A and an arbitrary effective reduced divisor D on A; the low truncation level is important for applications. We will actually prove this for the jet lifts of f. Finally we give some applications, including the solution of a problem posed by Mark Green."
Tahensu kaiseki kansuron : Gakubusei e okuru oka no rensetsu teiri by Junjirō Noguchi( Book )

2 editions published in 2013 in Japanese and held by 3 WorldCat member libraries worldwide

Tahensū nevuanrinna riron to diofantosu kinji( Book )

2 editions published in 2003 in Japanese and held by 3 WorldCat member libraries worldwide

Moduli spaces of harmonic and holomorphic mappings and the diophantus geometry by Toshiki Miyano( Book )

2 editions published in 1990 in German and English and held by 2 WorldCat member libraries worldwide

 
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Prospects in complex geometry : proceedings of the 25th Taniguchi International Symposium held in Katata, and the conference held in Kyoto, July 31-August 9, 1989
Covers
Geometric function theory in several complex variablesGeometric complex analysis : third international research institute of Mathematical Society of Japan, Hayama, Japan, 19-29 March 1995
Alternative Names
Junjirō Noguchi

Noguchi, J.

Noguchi, J. 1948-

Noguchi, J. (Junjiro), 1948-

Noguchi, Junjiro

Noguchi, Junjiro 1948-

Noguchi Junjiro japanischer Mathematiker

Noguti, Zyunzirō

Ногути, Дзюндзиро

ノグチ, ジュンジロウ

ノグチ, ジュンジロウ 1948-

野口潤次郎

野口潤次郎 1948-

Languages
English (125)

Japanese (5)

German (1)