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Author ID: mukai.shigeru Recent zbMATH articles by "Mukai, Shigeru"
Published as: Mukai, Shigeru; Mukai, S.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 49 Publications since 1978, including 2 Books
6 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 35 Co-Authors with 19 Joint Publications
747 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,507 times in 1,117 Documents Cited by Year
Duality between \(D(X)\) and \(D(\hat X)\) with its application to Picard sheaves. Zbl 0417.14036
Mukai, Shigeru
206
1981
Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface. Zbl 0565.14002
Mukai, Shigeru
201
1984
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
121
1981
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3. Zbl 0679.14020
Mukai, Shigeru
98
1989
Finite groups of automorphisms of K3 surfaces and the Mathieu group. Zbl 0705.14045
Mukai, Shigeru
96
1988
On the moduli space of bundles on \(K3\) surfaces. I. Zbl 0674.14023
Mukai, S.
69
1987
Fano 3-folds. Zbl 0774.14037
Mukai, Shigeru
56
1992
Semi-homogeneous vector bundles on an abelian variety. Zbl 0417.14029
Mukai, Shigeru
50
1978
An introduction to invariants and moduli. Transl. by W. M. Oxbury. Zbl 1033.14008
Mukai, Shigeru
40
2003
Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai. Zbl 0958.14025
Kondō, Shigeyuki
36
1998
Curves and symmetric spaces. I. Zbl 0871.14025
Mukai, Shigeru
32
1995
Curves, K3 surfaces and Fano 3-folds of genus \(\leq 10\). Zbl 0701.14044
Mukai, Shigeru
32
1988
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
31
1983
Polarized K3 surfaces of genus 18 and 20. Zbl 0774.14035
Mukai, Shigeru
30
1992
Curves and Grassmannians. Zbl 0846.14030
Mukai, Shigeru
29
1993
Maximal subbundles of vector bundles on a curve. Zbl 0572.14008
Mukai, Shigeru; Sakai, Fumio
28
1985
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
27
1986
Automorphisms of Enriques surfaces which act trivially on the cohomology groups. Zbl 0559.14038
Mukai, Shigeru; Namikawa, Yukihiko
23
1984
Curves and K3 surfaces of genus eleven. Zbl 0884.14010
Mukai, Shigeru
22
1996
Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics. Zbl 1291.14038
Mukai, Shigeru
20
2013
Minimal rational threefolds. Zbl 0526.14006
Mukai, Shigeru; Umemura, Hiroshi
20
1983
Moduli of vector bundles on K3 surfaces, and symplectic manifolds. Zbl 0685.14021
Mukai, Shigeru
20
1987
Duality of polarized K3 surfaces. Zbl 0948.14032
Mukai, Shigeru
19
1999
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
17
1983
Geometric realization of \(T\)-shaped root systems and counterexamples to Hilbert’s fourteenth problem. Zbl 1108.13300
Mukai, Shigeru
15
2004
Curves and symmetric spaces. Zbl 0768.14014
Mukai, Shigeru
15
1992
New developments of Fano varieties – on vector bundles and moduli problems. Zbl 0889.14020
Mukai, Shigeru
15
1995
Vector bundles and Brill-Noether theory. Zbl 0866.14024
Mukai, Shigeru
14
1995
Numerically trivial involutions of Kummer type of an Enriques surface. Zbl 1207.14038
Mukai, Shigeru
13
2010
Curves and symmetric spaces. II. Zbl 1210.14034
Mukai, Shigeru
13
2010
Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070
Mabuchi, Toshiki; Mukai, Shigeru
11
1993
Plane quartics and Fano threefolds of genus twelve. Zbl 1068.14050
Mukai, Shigeru
10
2004
The automorphism group of Enriques surfaces covered by symmetric quartic surfaces. Zbl 1326.14097
Mukai, Shigeru; Ohashi, Hisanori
9
2014
Polarized \(K3\) surfaces of genus thirteen. Zbl 1117.14040
Mukai, Shigeru
9
2006
Vector bundles on a \(K3\) surface. Zbl 1046.14016
Mukai, Shigeru
8
2002
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
7
2004
Obstructions to deforming curves on a 3-fold. I: A generalization of Mumford’s example and an application to \(\operatorname{Hom}\) schemes. Zbl 1181.14031
Mukai, Shigeru; Nasu, Hirokazu
7
2009
Moduli of vector bundles on K3 surfaces and symplectic manifolds. Zbl 0651.14003
Mukai, Shigeru
6
1987
Noncommutativizability of Brill-Noether theory and 3-dimensional Fano variety. Zbl 0929.14021
Mukai, Shigeru
6
1997
Fourier functor and its application to the moduli of bundles on an abelian variety. Zbl 0672.14025
Mukai, Shigeru
5
1987
\(K3\) surfaces of genus sixteen. Zbl 1369.14049
Mukai, Shigeru
4
2016
Kummer’s quartics and numerically reflective involutions of Enriques surfaces. Zbl 1237.14046
Mukai, Shigeru
3
2012
Resultants and the Borcherds \(\Phi\)-function. Zbl 1425.14033
Kawaguchi, Shu; Mukai, Shigeru; Yoshikawa, Ken-Ichi
3
2018
Enriques surfaces of Hutchinson-Göpel type and Mathieu automorphisms. Zbl 1302.14031
Mukai, Shigeru; Ohashi, Hisanori
3
2013
Igusa quartic and Steiner surfaces. Zbl 1256.14045
Mukai, Shigeru
2
2012
An introduction to invariants and moduli. Transl. from the Japanese by W. M. Oxbury. Reprint of the 2003 hardback ed. Zbl 1257.14006
Mukai, Shigeru
2
2012
Lecture notes on \(K3\) and Enriques surfaces. Zbl 1263.14039
Mukai, Shigeru
2
2012
Canonical curves of genus eight. Zbl 1051.14034
Ide, Manabu; Mukai, Shigeru
1
2003
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
1
2002
Resultants and the Borcherds \(\Phi\)-function. Zbl 1425.14033
Kawaguchi, Shu; Mukai, Shigeru; Yoshikawa, Ken-Ichi
3
2018
\(K3\) surfaces of genus sixteen. Zbl 1369.14049
Mukai, Shigeru
4
2016
The automorphism group of Enriques surfaces covered by symmetric quartic surfaces. Zbl 1326.14097
Mukai, Shigeru; Ohashi, Hisanori
9
2014
Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics. Zbl 1291.14038
Mukai, Shigeru
20
2013
Enriques surfaces of Hutchinson-Göpel type and Mathieu automorphisms. Zbl 1302.14031
Mukai, Shigeru; Ohashi, Hisanori
3
2013
Kummer’s quartics and numerically reflective involutions of Enriques surfaces. Zbl 1237.14046
Mukai, Shigeru
3
2012
Igusa quartic and Steiner surfaces. Zbl 1256.14045
Mukai, Shigeru
2
2012
An introduction to invariants and moduli. Transl. from the Japanese by W. M. Oxbury. Reprint of the 2003 hardback ed. Zbl 1257.14006
Mukai, Shigeru
2
2012
Lecture notes on \(K3\) and Enriques surfaces. Zbl 1263.14039
Mukai, Shigeru
2
2012
Numerically trivial involutions of Kummer type of an Enriques surface. Zbl 1207.14038
Mukai, Shigeru
13
2010
Curves and symmetric spaces. II. Zbl 1210.14034
Mukai, Shigeru
13
2010
Obstructions to deforming curves on a 3-fold. I: A generalization of Mumford’s example and an application to \(\operatorname{Hom}\) schemes. Zbl 1181.14031
Mukai, Shigeru; Nasu, Hirokazu
7
2009
Polarized \(K3\) surfaces of genus thirteen. Zbl 1117.14040
Mukai, Shigeru
9
2006
Geometric realization of \(T\)-shaped root systems and counterexamples to Hilbert’s fourteenth problem. Zbl 1108.13300
Mukai, Shigeru
15
2004
Plane quartics and Fano threefolds of genus twelve. Zbl 1068.14050
Mukai, Shigeru
10
2004
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
7
2004
An introduction to invariants and moduli. Transl. by W. M. Oxbury. Zbl 1033.14008
Mukai, Shigeru
40
2003
Canonical curves of genus eight. Zbl 1051.14034
Ide, Manabu; Mukai, Shigeru
1
2003
Vector bundles on a \(K3\) surface. Zbl 1046.14016
Mukai, Shigeru
8
2002
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
1
2002
Duality of polarized K3 surfaces. Zbl 0948.14032
Mukai, Shigeru
19
1999
Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai. Zbl 0958.14025
Kondō, Shigeyuki
36
1998
Noncommutativizability of Brill-Noether theory and 3-dimensional Fano variety. Zbl 0929.14021
Mukai, Shigeru
6
1997
Curves and K3 surfaces of genus eleven. Zbl 0884.14010
Mukai, Shigeru
22
1996
Curves and symmetric spaces. I. Zbl 0871.14025
Mukai, Shigeru
32
1995
New developments of Fano varieties – on vector bundles and moduli problems. Zbl 0889.14020
Mukai, Shigeru
15
1995
Vector bundles and Brill-Noether theory. Zbl 0866.14024
Mukai, Shigeru
14
1995
Curves and Grassmannians. Zbl 0846.14030
Mukai, Shigeru
29
1993
Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070
Mabuchi, Toshiki; Mukai, Shigeru
11
1993
Fano 3-folds. Zbl 0774.14037
Mukai, Shigeru
56
1992
Polarized K3 surfaces of genus 18 and 20. Zbl 0774.14035
Mukai, Shigeru
30
1992
Curves and symmetric spaces. Zbl 0768.14014
Mukai, Shigeru
15
1992
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3. Zbl 0679.14020
Mukai, Shigeru
98
1989
Finite groups of automorphisms of K3 surfaces and the Mathieu group. Zbl 0705.14045
Mukai, Shigeru
96
1988
Curves, K3 surfaces and Fano 3-folds of genus \(\leq 10\). Zbl 0701.14044
Mukai, Shigeru
32
1988
On the moduli space of bundles on \(K3\) surfaces. I. Zbl 0674.14023
Mukai, S.
69
1987
Moduli of vector bundles on K3 surfaces, and symplectic manifolds. Zbl 0685.14021
Mukai, Shigeru
20
1987
Moduli of vector bundles on K3 surfaces and symplectic manifolds. Zbl 0651.14003
Mukai, Shigeru
6
1987
Fourier functor and its application to the moduli of bundles on an abelian variety. Zbl 0672.14025
Mukai, Shigeru
5
1987
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
27
1986
Maximal subbundles of vector bundles on a curve. Zbl 0572.14008
Mukai, Shigeru; Sakai, Fumio
28
1985
Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface. Zbl 0565.14002
Mukai, Shigeru
201
1984
Automorphisms of Enriques surfaces which act trivially on the cohomology groups. Zbl 0559.14038
Mukai, Shigeru; Namikawa, Yukihiko
23
1984
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
31
1983
Minimal rational threefolds. Zbl 0526.14006
Mukai, Shigeru; Umemura, Hiroshi
20
1983
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
17
1983
Duality between \(D(X)\) and \(D(\hat X)\) with its application to Picard sheaves. Zbl 0417.14036
Mukai, Shigeru
206
1981
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
121
1981
Semi-homogeneous vector bundles on an abelian variety. Zbl 0417.14029
Mukai, Shigeru
50
1978
all top 5

Cited by 992 Authors

13 Yoshioka, Kōta
12 Ciliberto, Ciro
12 Farkas, Gavril
11 Knutsen, Andreas Leopold
10 Ballico, Edoardo
10 Garbagnati, Alice
10 Hacon, Christopher Derek
10 Kondō, Shigeyuki
10 Kuznetsov, Aleksandr Gennad’evich
10 Prokhorov, Yuriĭ Gennad’evich
10 Stellari, Paolo
9 Biswas, Indranil
9 Chen, Jungkai Alfred
9 Hassett, Brendan
9 Iliev, Atanas Iliev
9 Maciocia, Antony
9 Macrì, Emanuele
9 Oguiso, Keiji
9 Pareschi, Giuseppe
9 Verra, Alessandro
8 Cheltsov, Ivan Anatol’evich
8 Markman, Eyal
8 Mukai, Shigeru
8 Popa, Mihnea
8 Ranestad, Kristian
8 Takagi, Hiromichi
7 Bruzzo, Ugo
7 Faenzi, Daniele
7 Fujita, Kento
7 Manivel, Laurent
7 Markushevich, Dimitri Genrikhovich
7 Nakashima, Tohru
7 Newstead, Peter E.
7 O’Grady, Kieran G.
7 Peternell, Thomas Martin
7 Schreyer, Frank-Olaf
7 Shramov, Konstantin Aleksandrovich
7 Staglianò, Giovanni
7 Tschinkel, Yuri
7 Yau, Shing-Tung
6 Dedieu, Thomas
6 Dolgachev, Igor’ Vladimirovich
6 Fu, Lie
6 Hernández Ruipérez, Daniel
6 Keum, Jonghae
6 Lange, Herbert
6 Lelli-Chiesa, Margherita
6 Lopez, Angelo Felice
6 Massarenti, Alex
6 Mongardi, Giovanni
6 Polishchuk, Alexander Evgen’evich
6 Rapagnetta, Antonio
6 Saccà, Giulia
6 Sarti, Alessandra
6 Zhang, De-Qi
6 Zhang, Lei
5 Campana, Frédéric
5 Casagrande, Cinzia
5 Eisenbud, David
5 Flamini, Flaminio
5 Harrison, Sarah M.
5 Huybrechts, Daniel
5 Ilten, Nathan Owen
5 Ito, Atsushi M.
5 Laface, Antonio
5 Lahoz, Martí
5 Laterveer, Robert
5 Laza, Radu
5 Li, Jun
5 López Martín, Ana Cristina
5 Miura, Makoto
5 Muñoz, Roberto
5 Nikulin, Vyacheslav Valentinovich
5 Occhetta, Gianluca
5 Oprea, Dragos
5 Sawon, Justin
5 Süss, Hendrik
5 Voisin, Claire
5 Zucconi, Francesco
4 Bayer, Arend
4 Beauville, Arnaud
4 Bridgeland, Tom
4 Cao, Yalong
4 Duncan, John F. R.
4 Furushima, Mikio
4 Galati, Concettina
4 Grieve, Nathan Mark
4 Hausen, Jürgen
4 Hitching, George H.
4 Hoff, Michael
4 Hosono, Shinobu
4 Hurtubise, Jacques C.
4 Jiang, Zhi
4 Kaloghiros, Anne-Sophie
4 Kapustka, Michał
4 Klemm, Albrecht
4 Kollár, János
4 Lanteri, Antonio
4 Leung, Naichung Conan
4 Liu, Yuchen
...and 892 more Authors
all top 5

Cited in 158 Serials

58 Mathematische Zeitschrift
53 Mathematische Annalen
46 Advances in Mathematics
43 Journal of Algebraic Geometry
40 Duke Mathematical Journal
39 Transactions of the American Mathematical Society
39 International Journal of Mathematics
31 Manuscripta Mathematica
29 Compositio Mathematica
29 Journal of Algebra
28 Journal of Geometry and Physics
23 Journal für die Reine und Angewandte Mathematik
23 Proceedings of the American Mathematical Society
22 Journal of High Energy Physics
21 Nagoya Mathematical Journal
20 Annales de l’Institut Fourier
20 Inventiones Mathematicae
19 Communications in Algebra
19 Journal of Pure and Applied Algebra
17 Geometriae Dedicata
16 Nuclear Physics. B
14 European Journal of Mathematics
13 Kyoto Journal of Mathematics
12 Michigan Mathematical Journal
12 Selecta Mathematica. New Series
11 Communications in Mathematical Physics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Proceedings of the Japan Academy. Series A
10 Journal of the American Mathematical Society
8 Archiv der Mathematik
8 Mathematische Nachrichten
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Bollettino dell’Unione Matematica Italiana
7 Collectanea Mathematica
7 Izvestiya: Mathematics
7 Geometry & Topology
7 Communications in Contemporary Mathematics
7 Central European Journal of Mathematics
6 Journal of Mathematical Physics
6 Osaka Journal of Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of the European Mathematical Society (JEMS)
6 Forum of Mathematics, Sigma
6 Journal de l’École Polytechnique – Mathématiques
5 Mathematical Notes
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Experimental Mathematics
5 Documenta Mathematica
5 Annals of Mathematics. Second Series
5 Advances in Geometry
5 Journal of the Institute of Mathematics of Jussieu
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Israel Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Bulletin de la Société Mathématique de France
4 Journal of the London Mathematical Society. Second Series
4 Rendiconti del Seminario Matematico della Università di Padova
4 Tôhoku Mathematical Journal. Second Series
4 Tokyo Journal of Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Mathematical Sciences (New York)
4 Revista Matemática Complutense
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the Steklov Institute of Mathematics
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Japanese Journal of Mathematics. 3rd Series
3 Rocky Mountain Journal of Mathematics
3 Russian Mathematical Surveys
3 Reviews in Mathematical Physics
3 Canadian Journal of Mathematics
3 Publications Mathématiques
3 Journal of the Mathematical Society of Japan
3 Revista Matemática Iberoamericana
3 The Journal of Geometric Analysis
3 Linear Algebra and its Applications
3 Indagationes Mathematicae. New Series
3 Transformation Groups
3 Annales Henri Poincaré
3 Bulletin of the Brazilian Mathematical Society. New Series
2 Physics Letters. B
2 Arkiv för Matematik
2 Beiträge zur Algebra und Geometrie
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Commentarii Mathematici Helvetici
2 Illinois Journal of Mathematics
2 Kodai Mathematical Journal
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Topology and its Applications
2 Journal of Symbolic Computation
2 Forum Mathematicum
2 Sugaku Expositions
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Differential Geometry and its Applications
2 IMRN. International Mathematics Research Notices
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
...and 58 more Serials
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Cited in 37 Fields

1,035 Algebraic geometry (14-XX)
116 Differential geometry (53-XX)
97 Several complex variables and analytic spaces (32-XX)
76 Quantum theory (81-XX)
68 Category theory; homological algebra (18-XX)
52 Number theory (11-XX)
39 Commutative algebra (13-XX)
29 Global analysis, analysis on manifolds (58-XX)
27 Group theory and generalizations (20-XX)
23 Manifolds and cell complexes (57-XX)
20 Nonassociative rings and algebras (17-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 Relativity and gravitational theory (83-XX)
14 Associative rings and algebras (16-XX)
13 Algebraic topology (55-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Topological groups, Lie groups (22-XX)
9 \(K\)-theory (19-XX)
5 Combinatorics (05-XX)
5 Functional analysis (46-XX)
5 Convex and discrete geometry (52-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
4 Mechanics of particles and systems (70-XX)
3 Field theory and polynomials (12-XX)
3 Numerical analysis (65-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 General and overarching topics; collections (00-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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