Mori, Shigefumi
Overview
Works:  16 works in 73 publications in 4 languages and 808 library holdings 

Genres:  Conference papers and proceedings Educational films Filmed lectures Nonfiction films 
Roles:  Editor, Author, Other 
Classifications:  QA571, 516.35 
Publication Timeline
.
Most widely held works by
Shigefumi Mori
Birational geometry of algebraic varieties by
János Kollár(
Book
)
15 editions published between 1998 and 2008 in English and held by 375 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
15 editions published between 1998 and 2008 in English and held by 375 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
Higher dimensional complex geometry : a summer seminar at the University of Utah, Salt Lake City, 1987 by
C. Herbert Clemens(
Book
)
22 editions published between 1988 and 1993 in 3 languages and held by 177 WorldCat member libraries worldwide
22 editions published between 1988 and 1993 in 3 languages and held by 177 WorldCat member libraries worldwide
Higher dimensional birational geometry by
Shigefumi Mori(
Book
)
8 editions published in 2002 in English and held by 118 WorldCat member libraries worldwide
8 editions published in 2002 in English and held by 118 WorldCat member libraries worldwide
The resolution of singular algebraic varieties : Clay Mathematics Institute Summer School, the resolution of singular algebraic
varieties, June 330, 2012, Obergurgl Center, Tyrolean Alps, Austria by Clay Mathematics Institute Summer School(
Book
)
4 editions published in 2014 in English and held by 64 WorldCat member libraries worldwide
Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may tempt the reader to enter more deeply into a topic where many mysteriesespecially the positive characteristic caseawait to be disclosed
4 editions published in 2014 in English and held by 64 WorldCat member libraries worldwide
Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may tempt the reader to enter more deeply into a topic where many mysteriesespecially the positive characteristic caseawait to be disclosed
Birational classification of algebraic threefolds by
Shigefumi Mori(
Visual
)
3 editions published in 1990 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 12 WorldCat member libraries worldwide
Soyuri kikagaku by
János Kollár(
Book
)
4 editions published between 1998 and 2008 in Japanese and held by 8 WorldCat member libraries worldwide
4 editions published between 1998 and 2008 in Japanese and held by 8 WorldCat member libraries worldwide
Daisū kikagaku(
Book
)
2 editions published in 2004 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2004 in Japanese and held by 4 WorldCat member libraries worldwide
A canonical bundle formula by
Osamu Fujino(
Book
)
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Abstract: "A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As applications, we prove that the logcanonical ring of a klt pair with [kappa] [<or =] 3 is finitely generated, and that there exists an effectively computable natural number M such that [absolute value of] MK[subscript x] induces the Iitaka fibering for every algebraic threefold X with Kodaira dimension [kappa] = 1."
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Abstract: "A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As applications, we prove that the logcanonical ring of a klt pair with [kappa] [<or =] 3 is finitely generated, and that there exists an effectively computable natural number M such that [absolute value of] MK[subscript x] induces the Iitaka fibering for every algebraic threefold X with Kodaira dimension [kappa] = 1."
Quotients by groupoids by
Seán Keel(
Book
)
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
On semistable extremal neighborhoods by
Shigefumi Mori(
Book
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We give an explicit description of an extremal nbd X [superset of] C [approximately =] P¹ of type k2A. We also give a criterion for X to be a flipping contraction and an explicit description of the contraction and the flip."
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We give an explicit description of an extremal nbd X [superset of] C [approximately =] P¹ of type k2A. We also give a criterion for X to be a flipping contraction and an explicit description of the contraction and the flip."
Classification of three dimensional flips by
János Kollár(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Rationally connected varieties by
János Kollár(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Rational curves on Fano varieties by
János Kollár(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Iwanami kōza gendai sūgaku no tenkai(
Book
)
1 edition published in 1998 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 1998 in Japanese and held by 1 WorldCat member library worldwide
Boundedness of canonical QFano 3folds by
János Kollár(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Abstract: "We give an effective bound of the Gorenstein index of weak QFano 3folds, and prove the boundedness of the terminal QFano 3folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical QFano 3folds."
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Abstract: "We give an effective bound of the Gorenstein index of weak QFano 3folds, and prove the boundedness of the terminal QFano 3folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical QFano 3folds."
Tracts in Mathematics, 134 by
János Kollár(
)
1 edition published in 1998 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Kollár, János Author
 Clemens, C. Herbert (Charles Herbert) 1939 Other Author
 Miyaoka, Yoichi Editor
 Kyōto Daigaku Sūri Kaiseki Kenkyūjo
 Hauser, H. (Herwig) 1956 Editor
 Ellwood, David 1966 Editor
 Shicho, Josef 1964
 Corti, Alessio 1965 ... Contributor
 Clemens, Charles Herbert Contributor
 American Mathematical Society
Useful Links
Associated Subjects
Algebraic varieties Commutative algebra Complex manifolds Contact transformations Curves, Algebraic Fiber bundles (Mathematics) Functions of complex variables Geometry, Algebraic Geometry, Differential Groupoids Group theory Set theory Singularities (Mathematics) Surfaces, Algebraic Threefolds (Algebraic geometry)
Alternative Names
Mori, S.
Mori, Shigefumi
Mori, Shigefumi 1951
Mori Sigehumi
Shigefumi Mori
Shigefumi Mori Japanese Mathematician
Shigefumi Mori japanischer Mathematiker
Shigefumi Mori Japans wiskundige
Shigefumi Mori matematico giapponese
Shigefumi Mori Mathematician
Šigefumi Mori
Мори, Сигэфуми
Морі Сіґефумі
שיגפומי מורי
شيغيفومي موري
شیگفومی موری
শিগেফুমি মোরি জাপানি গণিতবিদ
모리 시게후미
モリ, シゲフミ 1951
森重文
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