Kato, K. (Kazuya)
Overview
Works:  138 works in 245 publications in 2 languages and 4,183 library holdings 

Genres:  Bibliography Conference papers and proceedings History 
Roles:  Author, Inventor, Editor, Other, Honoree, Illustrator, Contributor 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
K Kato
Classifying spaces of degenerating polarized Hodge structures by
K Kato(
)
3 editions published in 2009 in English and held by 1,732 WorldCat member libraries worldwide
In 1970, Philip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kato and Usui realize this dream by creating a logarithmic Hodge theory
3 editions published in 2009 in English and held by 1,732 WorldCat member libraries worldwide
In 1970, Philip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kato and Usui realize this dream by creating a logarithmic Hodge theory
Classifying Spaces of Degenerating Polarized Hodge Structures. (AM169) by
K Kato(
)
3 editions published in 2008 in English and held by 572 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
3 editions published in 2008 in English and held by 572 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
Arithmetic algebraic geometry by
J.L ColliotThélène(
Book
)
8 editions published in 1993 in English and held by 415 WorldCat member libraries worldwide
This volume contains three long lecture series by J.L. ColliotThelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic Ktheory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for HasseWeil Lfunction, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. ColliotThelene: Cycles algebriques de torsion et Ktheorie algebrique. K. Kato: Lectures on the approach to Iwasawa theory for HasseWeil Lfunctions. P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations
8 editions published in 1993 in English and held by 415 WorldCat member libraries worldwide
This volume contains three long lecture series by J.L. ColliotThelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic Ktheory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for HasseWeil Lfunction, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. ColliotThelene: Cycles algebriques de torsion et Ktheorie algebrique. K. Kato: Lectures on the approach to Iwasawa theory for HasseWeil Lfunctions. P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations
Clustering Aspects of Quantum ManyBody Systems : Proceedings of the PostSymposium of YKIS01 Kyoto, Japan 1214 November
2001 by
A Ohnishi(
)
1 edition published in 2002 in English and held by 391 WorldCat member libraries worldwide
This proceedings volume includes all the invited talks and oral presentations at the International Symposium on Clustering Aspects of Quantum ManyBody Systems, 1214 November 2001, Kyoto, Japan. It discusses various features of clustering aspects  localization of particles in static and dynamical contexts  of nuclear and atomic systems. It also presents many recent theoretical developments in quantum fewbody and manybody problems. This book will be useful to graduate students and researchers in the field of quantum manybody problems, especially to those who want to understand the system
1 edition published in 2002 in English and held by 391 WorldCat member libraries worldwide
This proceedings volume includes all the invited talks and oral presentations at the International Symposium on Clustering Aspects of Quantum ManyBody Systems, 1214 November 2001, Kyoto, Japan. It discusses various features of clustering aspects  localization of particles in static and dynamical contexts  of nuclear and atomic systems. It also presents many recent theoretical developments in quantum fewbody and manybody problems. This book will be useful to graduate students and researchers in the field of quantum manybody problems, especially to those who want to understand the system
Number theory by
K Kato(
Book
)
10 editions published in 2000 in English and held by 330 WorldCat member libraries worldwide
10 editions published in 2000 in English and held by 330 WorldCat member libraries worldwide
Number theory by
Kazuya Kato(
Book
)
10 editions published in 2011 in English and Japanese and held by 105 WorldCat member libraries worldwide
This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the localglobal method in number theory, including the use of ideles and adeles. Basic properties of zeta and Lfunctions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions
10 editions published in 2011 in English and Japanese and held by 105 WorldCat member libraries worldwide
This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the localglobal method in number theory, including the use of ideles and adeles. Basic properties of zeta and Lfunctions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions
The honorable Miss Moonlight by
Onoto Watanna(
)
5 editions published between 1912 and 2013 in English and held by 90 WorldCat member libraries worldwide
5 editions published between 1912 and 2013 in English and held by 90 WorldCat member libraries worldwide
Number theory 1 : Fermat's dream by
K Kato(
Book
)
15 editions published between 1999 and 2000 in 3 languages and held by 80 WorldCat member libraries worldwide
This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, padic numbers, the \zetafunction, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series
15 editions published between 1999 and 2000 in 3 languages and held by 80 WorldCat member libraries worldwide
This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, padic numbers, the \zetafunction, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series
ICM90 Satellite Conference Proceedings : Algebraic Geometry and Analytic Geometry by
Akira Fujiki(
)
2 editions published in 1991 in English and held by 67 WorldCat member libraries worldwide
The International Conference "Algebraic Geometry and Analytic Geometry, Tokyo 1990" was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co., from August 13 through August 17, 1990, under the cosponsorship of the Mathematical Society of Japan. It was one of the satellite conferences of ICM90, Kyoto, and approximately 300 participants, including more than 100 from overseas, attended the conference. The academic program was divided into two parts, the morning sessions and the afternoon sessions. The morning sessions were held at Tokyo Metropolitan University, and two onehour plenary lectures were delivered every day. The afternoon sessions at the Tokyo Training Center, intended for a more specialized audience, consisted of four separate subsessions: Arithemetic Geometry, Algebraic Geometry, Analytic Geometry I and Analytic Geometry II. This book contains papers which grew out of the talks at the conference. The committee in charge of the organization and program consisted of A. Fujiki, K. Kato, T. Katsura, Y. Kawamata, Y. Miyaoka, S. Mori, K. Saito, N. Sasakura, T. Suwa and K. Watanabe. We would like to take this opportunity to thank the many mathematicians and students who cooperated to make the conference possible, especially Professors T. Fukui, S. Ishii, Y. Kitaoka, M. Miyanishi, Y. Namikawa, T. Oda, F. Sakai and T. Shioda for their valuable advice and assistance in organizing this conference. Financial support was mainly provided by personal contributions from Professors M
2 editions published in 1991 in English and held by 67 WorldCat member libraries worldwide
The International Conference "Algebraic Geometry and Analytic Geometry, Tokyo 1990" was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co., from August 13 through August 17, 1990, under the cosponsorship of the Mathematical Society of Japan. It was one of the satellite conferences of ICM90, Kyoto, and approximately 300 participants, including more than 100 from overseas, attended the conference. The academic program was divided into two parts, the morning sessions and the afternoon sessions. The morning sessions were held at Tokyo Metropolitan University, and two onehour plenary lectures were delivered every day. The afternoon sessions at the Tokyo Training Center, intended for a more specialized audience, consisted of four separate subsessions: Arithemetic Geometry, Algebraic Geometry, Analytic Geometry I and Analytic Geometry II. This book contains papers which grew out of the talks at the conference. The committee in charge of the organization and program consisted of A. Fujiki, K. Kato, T. Katsura, Y. Kawamata, Y. Miyaoka, S. Mori, K. Saito, N. Sasakura, T. Suwa and K. Watanabe. We would like to take this opportunity to thank the many mathematicians and students who cooperated to make the conference possible, especially Professors T. Fukui, S. Ishii, Y. Kitaoka, M. Miyanishi, Y. Namikawa, T. Oda, F. Sakai and T. Shioda for their valuable advice and assistance in organizing this conference. Financial support was mainly provided by personal contributions from Professors M
A collection of manuscripts written in honour of Kazuya Kato on the occasion of his fiftieth birthday(
Book
)
8 editions published between 2003 and 2004 in English and held by 48 WorldCat member libraries worldwide
8 editions published between 2003 and 2004 in English and held by 48 WorldCat member libraries worldwide
Grafting/Characterization Techniques/Kinetic Modeling by
H Galina(
)
1 edition published in 1998 in English and held by 30 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 30 WorldCat member libraries worldwide
Classifying spaces of degenerating polarized Hodge structures by
Kazuya Kato(
Book
)
7 editions published in 2009 in English and held by 28 WorldCat member libraries worldwide
7 editions published in 2009 in English and held by 28 WorldCat member libraries worldwide
Classifying spaces of degenerating polarized Hodge structures by
Kazuya Kato(
Book
)
6 editions published in 2009 in English and held by 26 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
6 editions published in 2009 in English and held by 26 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
Classifying Spaces of Degenerating Polarized Hodge Structures. (AM169) by
Kazuya Kato(
)
1 edition published in 2009 in English and held by 21 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
1 edition published in 2009 in English and held by 21 WorldCat member libraries worldwide
In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by FontaineIllusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebragroup theoretic area. These two areas are connected by a continuous map given by the SL(2)orbit theorem of CattaniKaplanSchmid. This diagram is used for the construction in the first topic
Gendai sūgaku no nagare by
Kazuhiko Aomoto(
)
2 editions published in 2004 in Japanese and held by 21 WorldCat member libraries worldwide
2 editions published in 2004 in Japanese and held by 21 WorldCat member libraries worldwide
Collected papers by
Teiji Takagi(
Book
)
4 editions published between 2001 and 2014 in English and Japanese and held by 15 WorldCat member libraries worldwide
4 editions published between 2001 and 2014 in English and Japanese and held by 15 WorldCat member libraries worldwide
Monodromy of hypergeometric functions and nonlattice integral monodromy by
Pierre Deligne(
Book
)
2 editions published in 1986 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 9 WorldCat member libraries worldwide
Grafting, characterization techniques, kinetic modeling by International Board of Editors(
Book
)
5 editions published between 1998 and 2013 in English and held by 9 WorldCat member libraries worldwide
Most of the untreated surfaces of polymers used in industry are not hydrophilic but hydrophobic. It is, therefore, difficult to bond these nonpolar polymer sur faces directly to other substances like adhesives, printing inks, and paints because they generally consist of polar compounds. On the other hand, polymer surfaces generally adsorb proteins when brought into direct contact with a bio logical system, resulting in cell attachment or platelet aggregation. The protein adsorption and attachment of biological components trigger a subsequent series of mostly adverse biological reactions toward the polymeric materials. Therefore, the technologies for surface modification of polymers or regulation of the polymer surface interaction with other substances have been of prime importance in polymer applications from the advent of polymer industries. Some of the technologies have been directed to introduction of new function alities onto polymer surfaces. The new functionalities introduced include improved surface hydrophilicity, hydrophobicity, bio compatibility, conductivi ty, antifogging, antifouling, grazing, surface hardness, surface roughness, adhesion, lubrication, and antistatic property. Theoretically, there is a large dif ference in properties between the surface and the bulk of a material and only the outermost surface is enough to be taken into consideration when the sur face properties are concerned. However, this is not the case for polymer surfaces, as the physical structure of the outermost polymer surface is generally not fixed but continuously changing with time due to the microscopic Brownian motion of polymer segments
5 editions published between 1998 and 2013 in English and held by 9 WorldCat member libraries worldwide
Most of the untreated surfaces of polymers used in industry are not hydrophilic but hydrophobic. It is, therefore, difficult to bond these nonpolar polymer sur faces directly to other substances like adhesives, printing inks, and paints because they generally consist of polar compounds. On the other hand, polymer surfaces generally adsorb proteins when brought into direct contact with a bio logical system, resulting in cell attachment or platelet aggregation. The protein adsorption and attachment of biological components trigger a subsequent series of mostly adverse biological reactions toward the polymeric materials. Therefore, the technologies for surface modification of polymers or regulation of the polymer surface interaction with other substances have been of prime importance in polymer applications from the advent of polymer industries. Some of the technologies have been directed to introduction of new function alities onto polymer surfaces. The new functionalities introduced include improved surface hydrophilicity, hydrophobicity, bio compatibility, conductivi ty, antifogging, antifouling, grazing, surface hardness, surface roughness, adhesion, lubrication, and antistatic property. Theoretically, there is a large dif ference in properties between the surface and the bulk of a material and only the outermost surface is enough to be taken into consideration when the sur face properties are concerned. However, this is not the case for polymer surfaces, as the physical structure of the outermost polymer surface is generally not fixed but continuously changing with time due to the microscopic Brownian motion of polymer segments
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Related Identities
 Usui, Sampei Author
 Saitō, Takeshi 1961 Other Contributor
 Kurokawa, Nobushige 1952 Other Annotator Contributor
 ColliotThélène, J.L (JeanLouis) Author
 Vojta, Paul 1957
 Ballico, E. (Edoardo) 1955 Editor
 Centro internazionale matematico estivo
 Ohnishi, A. Author Editor
 Itagaki, N. Editor
 KanadaEn'yo, Y. Editor
Useful Links
Associated Subjects
Algebraic number theory Arithmetical algebraic geometry Canadian fiction Chemical engineering Chemical structure Chemistry Chemistry, Physical and theoretical Class field theory Cluster theory (Nuclear physics) Condensed matter Geometry, Algebraic Group theory Hodge theory Logarithms Manybody problem Mathematics Number theory Physical organic chemistry Polymerization Polymers Takagi, Teiji,
Covers
Alternative Names
K. Kato 1952....
Kato, K.
Kato, Kazuya
Katō Kazuya 1952...
Kazuya Kato
Kazuya Katō 1952...
Kazuya Kato Japanese mathematician
Kazuya Katō japanischer Mathematiker
Kazuya Kato Japans wiskundige
Kazuya Kato matemático japonés
Kazuya Kato matematikan japonez
Kazuya Katō mathématicien japonais
Като, Кадзуя
كازويا كاتو رياضياتي ياباني
가토 가즈야
カトウ, カズヤ
カトウ, カズヤ 1952
加藤 和也 1952....
加藤和也 日本の数学者
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