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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
5 Contributions as Editor · 2 Further Contributions
Biographic References: 4 Publications
Co-Authors: 21 Co-Authors with 35 Joint Publications
598 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 2,266 times in 1,606 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
488
1998
Threefolds whose canonical bundles are not numerically effective. Zbl 0557.14021
Mori, Shigefumi
243
1982
Projective manifolds with ample tangent bundles. Zbl 0423.14006
Mori, Shigefumi
190
1979
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
144
1981
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
136
1992
Quotients by groupoids. Zbl 0881.14018
Keel, Seán; Mori, Shigefumi
131
1997
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
110
1992
Flip theorem and the existence of minimal models for 3-folds. Zbl 0649.14023
Mori, Shigefumi
102
1988
Classification of three-dimensional flips. Zbl 0773.14004
Kollár, János; Mori, Shigefumi
90
1992
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
77
1986
On 3-dimensional terminal singularities. Zbl 0589.14005
Mori, Shigefumi
51
1985
On a generalization of complete intersections. Zbl 0332.14019
Mori, Shigefumi
43
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
42
1988
A canonical bundle formula. Zbl 1032.14014
Fujino, Osamu; Mori, Shigefumi
40
2000
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
38
1983
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
31
1986
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
28
2000
Classification of higher-dimensional varieties. Zbl 0656.14022
Mori, Shigefumi
24
1987
On \(\mathbb Q\)-conic bundles. Zbl 1151.14029
Mori, Shigefumi; Prokhorov, Yuri
21
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
17
1984
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
16
2003
On four-dimensional terminal quotient singularities. Zbl 0712.14026
Mori, Shigefumi; Morrison, David R.; Morrison, Ian
15
1988
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
15
2008
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
12
1992
The endomorphism rings of some Abelian varieties. Zbl 0339.14016
Mori, Shigefumi
12
1976
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
10
2003
Graded factorial domains. Zbl 0393.13003
Mori, Shigefumi
9
1977
Threefolds whose canonical bundles are not numerically effective. Zbl 0493.14020
Mori, Shigefumi
9
1982
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
8
2004
Multiple fibers of del Pezzo fibrations. Zbl 1312.14048
Mori, Shigefumi; Prokhorov, Yuri
8
2009
Errata to “classification of three-dimensional flips”. Zbl 1103.14301
Mori, Shigefumi
8
2007
On semistable extremal neighborhoods. Zbl 1066.14018
Mori, Shigefumi
8
2002
Threefold extremal contractions of type (IA). Zbl 1230.14017
Mori, Shigefumi; Prokhorov, Yuri
7
2011
On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040
Mori, Shigefumi; Prokhorov, Yuri
6
2009
Threefolds whose canonical bundles are not numerically effective. Zbl 0434.14022
Mori, Shigefumi
6
1980
On affine cones associated with polarized varieties. Zbl 0324.13019
Mori, Shigefumi
5
1975
Threefold extremal contractions of type (IIA). I. Zbl 1359.14037
Mori, S.; Prokhorov, Yu. G.
5
2016
On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011
Mori, Shigefumi; Prokhorov, Yuri
5
2008
Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043
Mori, S.; Prokhorov, Yu. G.
4
2019
3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030
Mori, Shigefumi; Prokhorov, Yuri
3
2014
Cone of curves, and Fano 3-folds. Zbl 0568.14023
Mori, Shigefumi
2
1984
On a hyperplane section theorem of Gurjar. Zbl 0976.14001
Mori, Shigefumi
2
2001
Birational classification of algebraic threefolds. Zbl 0751.14026
Mori, Shigefumi
1
1991
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
Birational classification of algebraic threefolds. Zbl 0840.14006
Mori, Shigefumi
1
1993
Hartshorne conjecture and extremal ray. Zbl 0702.14035
Mori, Shigefumi
1
1988
General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 1478.14029
Mori, Shigefumi; Prokhorov, Yuri G.
1
2021
On Tate conjecture concerning endomorphisms of Abelian varieties. Zbl 0421.14007
Mori, Shigefumi
1
1977
Rational curves on algebraic varieties. Zbl 0955.14020
Mori, Shigefumi
1
2000
General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 1478.14029
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.
4
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.
5
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
7
2011
Multiple fibers of del Pezzo fibrations. Zbl 1312.14048
Mori, Shigefumi; Prokhorov, Yuri
8
2009
On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040
Mori, Shigefumi; Prokhorov, Yuri
6
2009
On \(\mathbb Q\)-conic bundles. Zbl 1151.14029
Mori, Shigefumi; Prokhorov, Yuri
21
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
15
2008
On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011
Mori, Shigefumi; Prokhorov, Yuri
5
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
8
2004
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
16
2003
Fano threefolds with wild conic bundle structures. Zbl 1058.14058
Mori, Shigefumi; Saito, Natsuo
10
2003
On semistable extremal neighborhoods. Zbl 1066.14018
Mori, Shigefumi
8
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
40
2000
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
28
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
488
1998
Quotients by groupoids. Zbl 0881.14018
Keel, Seán; Mori, Shigefumi
131
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
136
1992
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
110
1992
Classification of three-dimensional flips. Zbl 0773.14004
Kollár, János; Mori, Shigefumi
90
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
1
1991
Flip theorem and the existence of minimal models for 3-folds. Zbl 0649.14023
Mori, Shigefumi
102
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
42
1988
On four-dimensional terminal quotient singularities. Zbl 0712.14026
Mori, Shigefumi; Morrison, David R.; Morrison, Ian
15
1988
Hartshorne conjecture and extremal ray. Zbl 0702.14035
Mori, Shigefumi
1
1988
Classification of higher-dimensional varieties. Zbl 0656.14022
Mori, Shigefumi
24
1987
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
77
1986
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
31
1986
On 3-dimensional terminal singularities. Zbl 0589.14005
Mori, Shigefumi
51
1985
On degrees and genera of curves on smooth quartic surfaces in \({\mathbb{P}}^ 3\). Zbl 0576.14032
Mori, Shigefumi
17
1984
Cone of curves, and Fano 3-folds. Zbl 0568.14023
Mori, Shigefumi
2
1984
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
38
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
243
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
144
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
190
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
9
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
43
1975
On affine cones associated with polarized varieties. Zbl 0324.13019
Mori, Shigefumi
5
1975
all top 5

Cited by 1,164 Authors

34 Peternell, Thomas Martin
31 Kollár, János
31 Prokhorov, Yuriĭ Gennad’evich
23 Xu, Chenyang
23 Zhang, De-Qi
21 Campana, Frédéric
17 Fujino, Osamu
17 Hacon, Christopher Derek
15 Fujita, Kento
14 Beltrametti, Mauro C.
14 Birkar, Caucher
14 Liu, Yuchen
13 Cascini, Paolo
13 Ciliberto, Ciro
13 Kebekus, Stefan
13 Kovács, Sándor J.
13 Mori, Shigefumi
12 Biswas, Indranil
12 Tanaka, Hiromu
11 Cheltsov, Ivan Anatol’evich
11 Druel, Stéphane
11 Höring, Andreas
11 Lehmann, Brian
11 Morrison, David R.
11 Wiśńiewski, Jarosław Antoni
10 Gongyo, Yoshinori
10 Schwede, Karl E.
9 Abramovich, Dan
9 Andreatta, Marco
9 Araujo, Carolina
9 Casagrande, Cinzia
9 de Fernex, Tommaso
9 Lanteri, Antonio
9 McKernan, James
9 Shramov, Konstantin Aleksandrovich
9 Totaro, Burt
9 Watanabe, Kiwamu
9 Zhang, Qi
8 Ballico, Edoardo
8 Chen, Meng
8 Ein, Lawrence Man Hon
8 Hausen, Jürgen
8 Occhetta, Gianluca
7 Chen, Jungkai Alfred
7 Demailly, Jean-Pierre
7 Fujimoto, Yoshio
7 Furushima, Mikio
7 Graf, Patrick
7 Ishii, Shihoko
7 Jahnke, Priska
7 Kawamata, Yujiro
7 Knutsen, Andreas Leopold
7 Lazić, Vladimir
7 Massarenti, Alex
7 Namikawa, Yoshinori
7 Paun, Mihai
7 Svaldi, Roberto
7 Wilson, Pelham Mark Hedley
6 Alexeev, Valery A.
6 Alper, Jarod
6 Blum, Harold
6 Borisov, Lev A.
6 Edidin, Dan
6 Fujita, Takao
6 Grassi, Antonella
6 Greb, Daniel
6 Harris, Joseph Daniel
6 Hassett, Brendan
6 Ionescu, Paltin
6 Keel, Sean
6 Kishimoto, Takashi
6 Li, Chi
6 Liu, Jie
6 Matsuki, Kenji
6 Novelli, Carla
6 Olsson, Martin C.
6 Palleschi, Marino
6 Patakfalvi, Zsolt
6 Radloff, Ivo
6 Rossi, Michele
6 Russo, Francesco
6 Rydh, David
6 Santos, Francisco
6 Schröer, Stefan
6 Sommese, Andrew John
6 Starr, Jason Michael
6 Süss, Hendrik
6 Takagi, Hiromichi
6 Tanimoto, Sho
6 Tschinkel, Yuri
6 Urzúa, Giancarlo
6 Voisin, Claire
6 Yang, Xiao-Kui
6 Zhuang, Ziquan
5 Blanc, Jérémy
5 Boucksom, Sébastien
5 Brown, Gavin Dennis
5 Bruzzo, Ugo
5 Cutkosky, Steven Dale
5 Flamini, Flaminio
...and 1,064 more Authors
all top 5

Cited in 177 Serials

100 Mathematische Annalen
86 Mathematische Zeitschrift
70 Journal of Algebraic Geometry
62 Inventiones Mathematicae
58 Transactions of the American Mathematical Society
56 Manuscripta Mathematica
55 Compositio Mathematica
51 Advances in Mathematics
51 Duke Mathematical Journal
43 Annales de l’Institut Fourier
40 Proceedings of the American Mathematical Society
40 International Journal of Mathematics
39 Nagoya Mathematical Journal
35 Journal für die Reine und Angewandte Mathematik
30 Journal of Algebra
27 European Journal of Mathematics
26 Journal of the American Mathematical Society
24 Publications of the Research Institute for Mathematical Sciences, Kyoto University
23 Journal of Pure and Applied Algebra
19 Geometriae Dedicata
19 Proceedings of the Japan Academy. Series A
18 Michigan Mathematical Journal
17 Annals of Mathematics. Second Series
16 Communications in Algebra
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Tôhoku Mathematical Journal. Second Series
15 Selecta Mathematica. New Series
15 Forum of Mathematics, Sigma
13 Geometry & Topology
13 Algebra & Number Theory
11 Bulletin de la Société Mathématique de France
11 Osaka Journal of Mathematics
11 Bulletin of the American Mathematical Society. New Series
11 Kyoto Journal of Mathematics
10 Journal of Mathematical Sciences (New York)
10 Journal of the Institute of Mathematics of Jussieu
9 Mathematische Nachrichten
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Documenta Mathematica
9 Journal of the European Mathematical Society (JEMS)
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Archiv der Mathematik
8 Sbornik: Mathematics
8 Transformation Groups
8 Journal of High Energy Physics
8 Proceedings of the Steklov Institute of Mathematics
8 Science China. Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Publications Mathématiques
7 The Journal of Geometric Analysis
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Advances in Geometry
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Mathematical Notes
6 Nuclear Physics. B
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Communications in Contemporary Mathematics
6 Journal de l’École Polytechnique – Mathématiques
5 Journal of the Mathematical Society of Japan
5 Kodai Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Izvestiya: Mathematics
5 Bulletin of the Brazilian Mathematical Society. New Series
5 Central European Journal of Mathematics
5 Japanese Journal of Mathematics. 3rd Series
5 Bollettino dell’Unione Matematica Italiana
4 Rocky Mountain Journal of Mathematics
4 Arkiv för Matematik
4 Journal of Geometry and Physics
4 Acta Mathematica
4 Memoirs of the American Mathematical Society
4 Annals of Global Analysis and Geometry
4 Revista Matemática Iberoamericana
4 Differential Geometry and its Applications
4 Milan Journal of Mathematics
4 Transactions of the American Mathematical Society. Series B
3 Communications in Mathematical Physics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 American Journal of Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Canadian Journal of Mathematics
3 Journal of Differential Geometry
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 IMRN. International Mathematics Research Notices
3 Calculus of Variations and Partial Differential Equations
3 Bulletin des Sciences Mathématiques
3 Taiwanese Journal of Mathematics
3 Revista Matemática Complutense
3 Forum of Mathematics, Pi
3 EMS Surveys in Mathematical Sciences
3 Electronic Research Archive
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Russian Mathematical Surveys
2 Acta Mathematica Vietnamica
2 Collectanea Mathematica
...and 77 more Serials
all top 5

Cited in 36 Fields

1,465 Algebraic geometry (14-XX)
313 Several complex variables and analytic spaces (32-XX)
164 Differential geometry (53-XX)
71 Commutative algebra (13-XX)
59 Number theory (11-XX)
32 Dynamical systems and ergodic theory (37-XX)
26 Manifolds and cell complexes (57-XX)
25 Category theory; homological algebra (18-XX)
25 Quantum theory (81-XX)
24 Group theory and generalizations (20-XX)
15 Convex and discrete geometry (52-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 \(K\)-theory (19-XX)
11 Algebraic topology (55-XX)
10 Associative rings and algebras (16-XX)
7 General algebraic systems (08-XX)
7 Nonassociative rings and algebras (17-XX)
7 Relativity and gravitational theory (83-XX)
5 History and biography (01-XX)
5 Partial differential equations (35-XX)
4 Topological groups, Lie groups (22-XX)
3 Field theory and polynomials (12-XX)
3 Functions of a complex variable (30-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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