Kollár, János
Overview
Works:  42 works in 265 publications in 5 languages and 6,585 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works about
János Kollár
 Kollárova idea slovanská a náš program by Hugo Richter( Book )
 Tian wen xue jiang ji shu xue ke xue jiang( Visual )
Most widely held works by
János Kollár
Lectures on resolution of singularities by
János Kollár(
)
18 editions published in 2007 in English and held by 2,076 WorldCat member libraries worldwide
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. This book provides a comprehensive treatment of the characteristic 0 case. It describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether
18 editions published in 2007 in English and held by 2,076 WorldCat member libraries worldwide
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. This book provides a comprehensive treatment of the characteristic 0 case. It describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether
Singularities of the minimal model program by
János Kollár(
)
5 editions published in 2013 in English and held by 846 WorldCat member libraries worldwide
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program
5 editions published in 2013 in English and held by 846 WorldCat member libraries worldwide
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program
Shafarevich maps and automorphic forms by
János Kollár(
)
18 editions published between 1995 and 2016 in English and held by 621 WorldCat member libraries worldwide
The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previously introduced by the author, this work isolates those varieties where the fundamental group influences global properties of the canonical class. The book is primarily geared toward researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as wellsuch as Abelian varieties, theta functions, and automorphic forms on bounded domains. The methods are drawn from diverse sources, including Atiyah's L2 index theorem, Gromov's theory of Poincaré series, and recent generalizations of Kodaira's vanishing theorem. Originally published in 1995. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
18 editions published between 1995 and 2016 in English and held by 621 WorldCat member libraries worldwide
The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previously introduced by the author, this work isolates those varieties where the fundamental group influences global properties of the canonical class. The book is primarily geared toward researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as wellsuch as Abelian varieties, theta functions, and automorphic forms on bounded domains. The methods are drawn from diverse sources, including Atiyah's L2 index theorem, Gromov's theory of Poincaré series, and recent generalizations of Kodaira's vanishing theorem. Originally published in 1995. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Rational curves on algebraic varieties by
János Kollár(
Book
)
18 editions published between 1995 and 1999 in English and held by 424 WorldCat member libraries worldwide
"The aim of this book is to provide an introduction to the structure theory of higher dimensional varieties by stydying the geometry of curves, especially rational curves, on varieties. According to the accepted terminology, 'higher' means dimensions 2 and up ... The second printing corrects several mistakes of the first printing. The mathematically significant improvements are in (I.1.7.2), (I.7.4.1) and (IV.4.15.2) ... Several of the open problems have been solved in the last 5 years. These are indicated by a footnote"Pages vvi
18 editions published between 1995 and 1999 in English and held by 424 WorldCat member libraries worldwide
"The aim of this book is to provide an introduction to the structure theory of higher dimensional varieties by stydying the geometry of curves, especially rational curves, on varieties. According to the accepted terminology, 'higher' means dimensions 2 and up ... The second printing corrects several mistakes of the first printing. The mathematically significant improvements are in (I.1.7.2), (I.7.4.1) and (IV.4.15.2) ... Several of the open problems have been solved in the last 5 years. These are indicated by a footnote"Pages vvi
Birational geometry of algebraic varieties by
János Kollár(
Book
)
19 editions published between 1998 and 2008 in English and held by 413 WorldCat member libraries worldwide
One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields
19 editions published between 1998 and 2008 in English and held by 413 WorldCat member libraries worldwide
One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields
Algebraic geometry, Santa Cruz 1995 : Summer Research Institute on Algebraic Geometry, July 929, 1995, University of California,
Santa Cruz by
János Kollár(
Book
)
31 editions published between 1997 and 2012 in English and Italian and held by 367 WorldCat member libraries worldwide
31 editions published between 1997 and 2012 in English and Italian and held by 367 WorldCat member libraries worldwide
Complex algebraic geometry(
Book
)
16 editions published between 1996 and 2000 in English and Italian and held by 269 WorldCat member libraries worldwide
Lecture notes from the Third Summer Session of the Regional Geometry Institute, held in Park City, Utah, in 1993
16 editions published between 1996 and 2000 in English and Italian and held by 269 WorldCat member libraries worldwide
Lecture notes from the Third Summer Session of the Regional Geometry Institute, held in Park City, Utah, in 1993
Singularities of the minimal model program by
János Kollár(
Book
)
15 editions published in 2013 in English and held by 226 WorldCat member libraries worldwide
"This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a selfcontained and complete theory of these singularities, including many previously unpublished results."
15 editions published in 2013 in English and held by 226 WorldCat member libraries worldwide
"This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a selfcontained and complete theory of these singularities, including many previously unpublished results."
Rational and nearly rational varieties by
János Kollár(
Book
)
8 editions published between 2003 and 2004 in English and held by 222 WorldCat member libraries worldwide
8 editions published between 2003 and 2004 in English and held by 222 WorldCat member libraries worldwide
Current topics in complex algebraic geometry by
C. Herbert Clemens(
Book
)
13 editions published between 1995 and 2011 in English and Undetermined and held by 220 WorldCat member libraries worldwide
This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years
13 editions published between 1995 and 2011 in English and Undetermined and held by 220 WorldCat member libraries worldwide
This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years
Higher dimensional varieties and rational points by
K Böröczky(
Book
)
13 editions published between 2003 and 2013 in English and held by 215 WorldCat member libraries worldwide
"Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on 'Higher Dimensional Varieties and Rational Points' held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area."Page 4 of cover
13 editions published between 2003 and 2013 in English and held by 215 WorldCat member libraries worldwide
"Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on 'Higher Dimensional Varieties and Rational Points' held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area."Page 4 of cover
Higher dimensional complex geometry : a summer seminar at the University of Utah, Salt Lake City, 1987 by
C. Herbert Clemens(
Book
)
21 editions published between 1988 and 1989 in English and French and held by 186 WorldCat member libraries worldwide
21 editions published between 1988 and 1989 in English and French and held by 186 WorldCat member libraries worldwide
Flips and abundance for algebraic threefolds : a summer seminar at the University of Utah (Salt Lake City, 1991) by
János Kollár(
Book
)
10 editions published between 1992 and 1993 in English and held by 164 WorldCat member libraries worldwide
10 editions published between 1992 and 1993 in English and held by 164 WorldCat member libraries worldwide
Proceedings of the Second International Conference on Phonon Physics, August 2631, 1985, Budapest, Hungary by
1985, Budapest) International Conference on Phonon Physics (2(
Book
)
8 editions published between 1985 and 1986 in English and held by 113 WorldCat member libraries worldwide
8 editions published between 1985 and 1986 in English and held by 113 WorldCat member libraries worldwide
Minimal models and extremal rays : (Kyoto, 2011) by
János Kollár(
Book
)
7 editions published in 2016 in English and held by 83 WorldCat member libraries worldwide
7 editions published in 2016 in English and held by 83 WorldCat member libraries worldwide
Rational curves on algebraic varieties by
János Kollár(
Book
)
3 editions published in 1996 in English and held by 29 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 29 WorldCat member libraries worldwide
Algebraic geometry, Santa Cruz 1995 : Summer Research Institute on Algebraic Geometry, July 929, 1995, University of California,
Santa Cruz by
János Kollár(
Book
)
5 editions published in 1997 in English and held by 18 WorldCat member libraries worldwide
5 editions published in 1997 in English and held by 18 WorldCat member libraries worldwide
Lectures on Resolution of Singularities (AM166) by
János Kollár(
)
1 edition published in 2007 in English and held by 17 WorldCat member libraries worldwide
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a selfcontained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem
1 edition published in 2007 in English and held by 17 WorldCat member libraries worldwide
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a selfcontained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem
Compact moduli spaces and vector bundles : conference on compact moduli and vector bundles, October 2124, 2010, University
of Georgia, Athens, Georgia by Conference on Compact Moduli and Vector Bundles(
Book
)
1 edition published in 2012 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 11 WorldCat member libraries worldwide
Current topics in complex algebraic geometry(
Book
)
1 edition published in 2012 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 7 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Kovács, Sándor
 Clemens, C. Herbert (Charles Herbert) 1939 Other Editor Author Contributor
 Mori, Shigefumi Other
 Lazarsfeld, R. (Robert) Other Editor
 Morrison, David R. 1955 Other Editor
 Corti, Alessio 1965 Other Contributor
 Smith, Karen E. 1965 Other
 Szamuely, Tamás Editor
 Böröczky, K. Author Editor
 Kovács, Sándor J. (Sándor József) Other
Useful Links
Associated Subjects
Algebraic spaces Algebraic varieties Arithmetical algebraic geometry AstronomyAwards Automorphic forms Awards ChinaHong Kong Combinatorial analysis Complex manifolds Curves, Algebraic Czechoslovakia Extremal problems (Mathematics) Functions of complex variables Geometry Geometry, Algebraic Geometry, Differential Hypersurfaces Kählerian manifolds Kollár, Ján, Mathematics MathematicsAwards Moduli theory Number theory Panslavism Phonons Politics and government Rational points (Geometry) Shafarevich maps Shaw, Run Run, Singularities (Mathematics) Surfaces, Algebraic Threefolds (Algebraic geometry) Varieties (Universal algebra) Vector bundles
Covers
Alternative Names
János Kollár
János Kollár Hongaars wiskundige
János Kollár Hungarian mathematician
János Kollár matemático húngaro
János Kollár matemáticu húngaru
János Kollár matematikawan Hongaria
János Kollár mathématicien hongrois
János Kollár ungarischer Mathematiker
Kollár, J.
Kollár, J. 1956
Kollár, J. (János)
Kollar, Ja.
Kollár, Janos
Янош Коллар венгерский математик
يانوس كولار رياضياتي مجري
コラール, ヤーノシュ
ヤノス・ケラー
亚诺什·科拉尔
科拉尔·亚诺什
Languages