×

zbMATH — the first resource for mathematics

Mori, Shigefumi

Compute Distance To:
Author ID: mori.shigefumi Recent zbMATH articles by "Mori, Shigefumi"
Published as: Mori, Shigefumi; Mori, S.
Further Spellings: 森 重文
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Fields Medal (1990)
Documents Indexed: 56 Publications since 1975, including 3 Books
3 Contributions as Editor
1 Further Contribution
Biographic References: 4 Publications

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,958 times in 1,390 Documents Cited by Year
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Zbl 0926.14003
Kollár, János; Mori, Shigefumi
370
1998
Threefolds whose canonical bundles are not numerically effective. Zbl 0557.14021
Mori, Shigefumi
226
1982
Projective manifolds with ample tangent bundles. Zbl 0423.14006
Mori, Shigefumi
171
1979
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
119
1992
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
118
1981
Quotients by groupoids. Zbl 0881.14018
Keel, Seán; Mori, Shigefumi
114
1997
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
98
1992
Flip theorem and the existence of minimal models for 3-folds. Zbl 0649.14023
Mori, Shigefumi
95
1988
Classification of three-dimensional flips. Zbl 0773.14004
Kollár, János; Mori, Shigefumi
81
1992
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
67
1986
On 3-dimensional terminal singularities. Zbl 0589.14005
Mori, Shigefumi
47
1985
On a generalization of complete intersections. Zbl 0332.14019
Mori, Shigefumi
42
1975
Higher dimensional complex geometry. A summer seminar at the University of Utah, Salt Lake City, 1987. Zbl 0689.14016
Clemens, Herbert; Kollár, János; Mori, Shigefumi
40
1988
A canonical bundle formula. Zbl 1032.14014
Fujino, Osamu; Mori, Shigefumi
35
2000
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
31
1983
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
26
2000
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
25
1986
Classification of higher-dimensional varieties. Zbl 0656.14022
Mori, Shigefumi
20
1987
On \(\mathbb Q\)-conic bundles. Zbl 1151.14029
Mori, Shigefumi; Prokhorov, Yuri
20
2008
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
17
1983
On degrees and genera of curves on smooth quartic surfaces in \({\mathbb{P}}^ 3\). Zbl 0576.14032
Mori, Shigefumi
16
1984
On four-dimensional terminal quotient singularities. Zbl 0712.14026
Mori, Shigefumi; Morrison, David R.; Morrison, Ian
13
1988
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
13
2003
The endomorphism rings of some Abelian varieties. Zbl 0339.14016
Mori, Shigefumi
12
1976
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
12
1992
On Hartshorne’s conjecture. Zbl 0422.14030
Mori, Shigefumi; Sumihiro, Hideyasu
11
1978
The endomorphism rings of some abelian varieties. II. Zbl 0379.14011
Mori, Shigefumi
10
1977
Fano threefolds with wild conic bundle structures. Zbl 1058.14058
Mori, Shigefumi; Saito, Natsuo
9
2003
Threefolds whose canonical bundles are not numerically effective. Zbl 0493.14020
Mori, Shigefumi
9
1982
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014
Kollár, János; Mori, Shigefumi
8
2008
Errata to “classification of three-dimensional flips”. Zbl 1103.14301
Mori, Shigefumi
8
2007
Graded factorial domains. Zbl 0393.13003
Mori, Shigefumi
8
1977
On semistable extremal neighborhoods. Zbl 1066.14018
Mori, Shigefumi
7
2002
On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040
Mori, Shigefumi; Prokhorov, Yuri
6
2009
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
6
2004
Threefolds whose canonical bundles are not numerically effective. Zbl 0434.14022
Mori, Shigefumi
6
1980
Threefold extremal contractions of type (IA). Zbl 1230.14017
Mori, Shigefumi; Prokhorov, Yuri
6
2011
Multiple fibers of del Pezzo fibrations. Zbl 1312.14048
Mori, Shigefumi; Prokhorov, Yuri
6
2009
On affine cones associated with polarized varieties. Zbl 0324.13019
Mori, Shigefumi
5
1975
On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011
Mori, Shigefumi; Prokhorov, Yuri
4
2008
Threefold extremal contractions of type (IIA). I. Zbl 1359.14037
Mori, S.; Prokhorov, Yu. G.
3
2016
3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030
Mori, Shigefumi; Prokhorov, Yuri
3
2014
Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043
Mori, S.; Prokhorov, Yu. G.
3
2019
Birational classification of algebraic threefolds. Zbl 0751.14026
Mori, Shigefumi
2
1991
On a hyperplane section theorem of Gurjar. Zbl 0976.14001
Mori, Shigefumi
2
2001
Rational curves on algebraic varieties. Zbl 0955.14020
Mori, Shigefumi
1
2000
Birational classification of algebraic threefolds. Zbl 0840.14006
Mori, Shigefumi
1
1993
On Tate conjecture concerning endomorphisms of Abelian varieties. Zbl 0421.14007
Mori, Shigefumi
1
1977
Hartshorne conjecture and extremal ray. Zbl 0702.14035
Mori, Shigefumi
1
1988
Cone of curves, and Fano 3-folds. Zbl 0568.14023
Mori, Shigefumi
1
1984
General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 07349633
Mori, Shigefumi; Prokhorov, Yuri G.
1
2021
Metric discrepancy results for geometric progressions perturbed by irrational rotations. Zbl 1474.11136
Fukuyama, K.; Mori, S.; Tanabe, Y.
1
2020
Threefold extremal contractions of type (IIA). Zbl 1418.14005
Mori, Shigefumi; Prokhorov, Yuri
1
2018
General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 07349633
Mori, Shigefumi; Prokhorov, Yuri G.
1
2021
Metric discrepancy results for geometric progressions perturbed by irrational rotations. Zbl 1474.11136
Fukuyama, K.; Mori, S.; Tanabe, Y.
1
2020
Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043
Mori, S.; Prokhorov, Yu. G.
3
2019
Threefold extremal contractions of type (IIA). Zbl 1418.14005
Mori, Shigefumi; Prokhorov, Yuri
1
2018
Threefold extremal contractions of type (IIA). I. Zbl 1359.14037
Mori, S.; Prokhorov, Yu. G.
3
2016
3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030
Mori, Shigefumi; Prokhorov, Yuri
3
2014
Threefold extremal contractions of type (IA). Zbl 1230.14017
Mori, Shigefumi; Prokhorov, Yuri
6
2011
On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040
Mori, Shigefumi; Prokhorov, Yuri
6
2009
Multiple fibers of del Pezzo fibrations. Zbl 1312.14048
Mori, Shigefumi; Prokhorov, Yuri
6
2009
On \(\mathbb Q\)-conic bundles. Zbl 1151.14029
Mori, Shigefumi; Prokhorov, Yuri
20
2008
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014
Kollár, János; Mori, Shigefumi
8
2008
On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011
Mori, Shigefumi; Prokhorov, Yuri
4
2008
Errata to “classification of three-dimensional flips”. Zbl 1103.14301
Mori, Shigefumi
8
2007
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
6
2004
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
13
2003
Fano threefolds with wild conic bundle structures. Zbl 1058.14058
Mori, Shigefumi; Saito, Natsuo
9
2003
On semistable extremal neighborhoods. Zbl 1066.14018
Mori, Shigefumi
7
2002
On a hyperplane section theorem of Gurjar. Zbl 0976.14001
Mori, Shigefumi
2
2001
A canonical bundle formula. Zbl 1032.14014
Fujino, Osamu; Mori, Shigefumi
35
2000
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
26
2000
Rational curves on algebraic varieties. Zbl 0955.14020
Mori, Shigefumi
1
2000
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Zbl 0926.14003
Kollár, János; Mori, Shigefumi
370
1998
Quotients by groupoids. Zbl 0881.14018
Keel, Seán; Mori, Shigefumi
114
1997
Birational classification of algebraic threefolds. Zbl 0840.14006
Mori, Shigefumi
1
1993
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
119
1992
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
98
1992
Classification of three-dimensional flips. Zbl 0773.14004
Kollár, János; Mori, Shigefumi
81
1992
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
12
1992
Birational classification of algebraic threefolds. Zbl 0751.14026
Mori, Shigefumi
2
1991
Flip theorem and the existence of minimal models for 3-folds. Zbl 0649.14023
Mori, Shigefumi
95
1988
Higher dimensional complex geometry. A summer seminar at the University of Utah, Salt Lake City, 1987. Zbl 0689.14016
Clemens, Herbert; Kollár, János; Mori, Shigefumi
40
1988
On four-dimensional terminal quotient singularities. Zbl 0712.14026
Mori, Shigefumi; Morrison, David R.; Morrison, Ian
13
1988
Hartshorne conjecture and extremal ray. Zbl 0702.14035
Mori, Shigefumi
1
1988
Classification of higher-dimensional varieties. Zbl 0656.14022
Mori, Shigefumi
20
1987
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
67
1986
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
25
1986
On 3-dimensional terminal singularities. Zbl 0589.14005
Mori, Shigefumi
47
1985
On degrees and genera of curves on smooth quartic surfaces in \({\mathbb{P}}^ 3\). Zbl 0576.14032
Mori, Shigefumi
16
1984
Cone of curves, and Fano 3-folds. Zbl 0568.14023
Mori, Shigefumi
1
1984
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
31
1983
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
17
1983
Threefolds whose canonical bundles are not numerically effective. Zbl 0557.14021
Mori, Shigefumi
226
1982
Threefolds whose canonical bundles are not numerically effective. Zbl 0493.14020
Mori, Shigefumi
9
1982
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
118
1981
Threefolds whose canonical bundles are not numerically effective. Zbl 0434.14022
Mori, Shigefumi
6
1980
Projective manifolds with ample tangent bundles. Zbl 0423.14006
Mori, Shigefumi
171
1979
On Hartshorne’s conjecture. Zbl 0422.14030
Mori, Shigefumi; Sumihiro, Hideyasu
11
1978
The endomorphism rings of some abelian varieties. II. Zbl 0379.14011
Mori, Shigefumi
10
1977
Graded factorial domains. Zbl 0393.13003
Mori, Shigefumi
8
1977
On Tate conjecture concerning endomorphisms of Abelian varieties. Zbl 0421.14007
Mori, Shigefumi
1
1977
The endomorphism rings of some Abelian varieties. Zbl 0339.14016
Mori, Shigefumi
12
1976
On a generalization of complete intersections. Zbl 0332.14019
Mori, Shigefumi
42
1975
On affine cones associated with polarized varieties. Zbl 0324.13019
Mori, Shigefumi
5
1975
all top 5

Cited by 1,014 Authors

32 Peternell, Thomas Martin
28 Prokhorov, Yuriĭ Gennad’evich
27 Kollár, János
19 Xu, Chenyang
17 Campana, Frédéric
17 Zhang, De-Qi
16 Fujino, Osamu
15 Hacon, Christopher Derek
14 Beltrametti, Mauro C.
13 Birkar, Caucher
13 Ciliberto, Ciro
13 Fujita, Kento
13 Kovács, Sándor J.
13 Mori, Shigefumi
12 Kebekus, Stefan
11 Biswas, Indranil
11 Cascini, Paolo
11 Höring, Andreas
11 Morrison, David R.
10 Druel, Stéphane
10 Tanaka, Hiromu
10 Wiśńiewski, Jarosław Antoni
9 Andreatta, Marco
9 Cheltsov, Ivan Anatol’evich
9 de Fernex, Tommaso
9 Gongyo, Yoshinori
9 Lanteri, Antonio
9 McKernan, James
9 Schwede, Karl E.
9 Shramov, Konstantin Aleksandrovich
9 Watanabe, Kiwamu
9 Zhang, Qi
8 Abramovich, Dan
8 Araujo, Carolina
8 Ballico, Edoardo
8 Chen, Meng
8 Ein, Lawrence Man Hon
8 Lehmann, Brian
8 Occhetta, Gianluca
8 Totaro, Burt
7 Chen, Jungkai Alfred
7 Demailly, Jean-Pierre
7 Furushima, Mikio
7 Ishii, Shihoko
7 Jahnke, Priska
7 Knutsen, Andreas Leopold
7 Massarenti, Alex
7 Paun, Mihai
7 Wilson, Pelham Mark Hedley
6 Alexeev, Valery A.
6 Alper, Jarod
6 Borisov, Lev A.
6 Casagrande, Cinzia
6 Edidin, Dan
6 Fujita, Takao
6 Graf, Patrick
6 Harris, Joseph Daniel
6 Hassett, Brendan
6 Hausen, Jürgen
6 Ionescu, Paltin
6 Kawamata, Yujiro
6 Keel, Sean
6 Lazić, Vladimir
6 Li, Chi
6 Liu, Jie
6 Namikawa, Yoshinori
6 Novelli, Carla
6 Olsson, Martin C.
6 Palleschi, Marino
6 Radloff, Ivo
6 Rossi, Michele
6 Russo, Francesco
6 Schröer, Stefan
6 Sommese, Andrew John
6 Starr, Jason Michael
6 Takagi, Hiromichi
6 Tschinkel, Yuri
6 Yang, Xiao-Kui
5 Boucksom, Sébastien
5 Cutkosky, Steven Dale
5 Flamini, Flaminio
5 Fujimoto, Yoshio
5 Greb, Daniel
5 Ilten, Nathan Owen
5 Kawakita, Masayuki
5 Kishimoto, Takashi
5 Lai, Ching-Jui
5 Lieblich, Max David
5 Matsuki, Kenji
5 Mok, Ngaiming
5 Muñoz, Roberto
5 Park, Jinhyung
5 Patakfalvi, Zsolt
5 Rydh, David
5 Santos, Francisco
5 Solá-Conde, Luis-Eduardo
5 Süss, Hendrik
5 Suzuki, Taku
5 Takayama, Shigeharu
5 Tian, Zhiyu
...and 914 more Authors
all top 5

Cited in 158 Serials

96 Mathematische Annalen
69 Mathematische Zeitschrift
65 Journal of Algebraic Geometry
58 Inventiones Mathematicae
53 Manuscripta Mathematica
52 Compositio Mathematica
52 Transactions of the American Mathematical Society
46 Duke Mathematical Journal
42 Advances in Mathematics
39 Annales de l’Institut Fourier
37 Proceedings of the American Mathematical Society
36 Nagoya Mathematical Journal
34 International Journal of Mathematics
29 Journal für die Reine und Angewandte Mathematik
28 Journal of Algebra
26 Journal of the American Mathematical Society
21 Journal of Pure and Applied Algebra
21 Publications of the Research Institute for Mathematical Sciences, Kyoto University
17 Geometriae Dedicata
17 Michigan Mathematical Journal
17 Proceedings of the Japan Academy. Series A
17 European Journal of Mathematics
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Tohoku Mathematical Journal. Second Series
15 Annals of Mathematics. Second Series
13 Communications in Algebra
11 Bulletin of the American Mathematical Society. New Series
11 Selecta Mathematica. New Series
10 Journal of Mathematical Sciences (New York)
10 Kyoto Journal of Mathematics
9 Mathematische Nachrichten
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Archiv der Mathematik
8 Bulletin de la Société Mathématique de France
8 Osaka Journal of Mathematics
8 Sbornik: Mathematics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Proceedings of the Steklov Institute of Mathematics
8 Science China. Mathematics
8 Forum of Mathematics, Sigma
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Publications Mathématiques
7 The Journal of Geometric Analysis
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Documenta Mathematica
7 Transformation Groups
7 Geometry & Topology
7 Journal of High Energy Physics
7 Advances in Geometry
6 Mathematical Notes
6 Nuclear Physics. B
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Journal of the European Mathematical Society (JEMS)
5 Journal of the Mathematical Society of Japan
5 Kodai Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Izvestiya: Mathematics
5 Central European Journal of Mathematics
5 Journal of the Institute of Mathematics of Jussieu
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Algebra & Number Theory
5 Japanese Journal of Mathematics. 3rd Series
4 Arkiv för Matematik
4 Journal of Geometry and Physics
4 Acta Mathematica
4 Differential Geometry and its Applications
4 Communications in Contemporary Mathematics
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal de l’École Polytechnique – Mathématiques
3 Communications in Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of the London Mathematical Society. Second Series
3 Journal of Number Theory
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Annals of Global Analysis and Geometry
3 Revista Matemática Iberoamericana
3 Bulletin des Sciences Mathématiques
3 Taiwanese Journal of Mathematics
3 EMS Surveys in Mathematical Sciences
3 Bollettino dell’Unione Matematica Italiana
2 Israel Journal of Mathematics
2 Russian Mathematical Surveys
2 Acta Mathematica Vietnamica
2 Canadian Journal of Mathematics
2 Collectanea Mathematica
2 Memoirs of the American Mathematical Society
2 Tokyo Journal of Mathematics
2 Ergodic Theory and Dynamical Systems
2 Calculus of Variations and Partial Differential Equations
2 Portugaliae Mathematica. Nova Série
2 Milan Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of \(K\)-Theory
2 Complex Manifolds
2 Transactions of the American Mathematical Society. Series B
...and 58 more Serials

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.