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Mukai, Shigeru

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Author ID: mukai.shigeru Recent zbMATH articles by "Mukai, Shigeru"
Published as: Mukai, S.; Mukai, Shigeru
External Links: MGP · Wikidata · GND
Documents Indexed: 54 Publications since 1978, including 7 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 1,335 times in 1,014 Documents Cited by Year
Duality between \(D(X)\) and \(D(\hat X)\) with its application to Picard sheaves. Zbl 0417.14036
Mukai, Shigeru
195
1981
Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface. Zbl 0565.14002
Mukai, Shigeru
176
1984
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
114
1981
Finite groups of automorphisms of K3 surfaces and the Mathieu group. Zbl 0705.14045
Mukai, Shigeru
89
1988
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3. Zbl 0679.14020
Mukai, Shigeru
80
1989
On the moduli space of bundles on \(K3\) surfaces. I. Zbl 0674.14023
Mukai, S.
73
1987
Fano 3-folds. Zbl 0774.14037
Mukai, Shigeru
51
1992
An introduction to invariants and moduli. Transl. by W. M. Oxbury. Zbl 1033.14008
Mukai, Shigeru
40
2003
Semi-homogeneous vector bundles on an abelian variety. Zbl 0417.14029
Mukai, Shigeru
39
1978
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
35
1983
Curves and symmetric spaces. I. Zbl 0871.14025
Mukai, Shigeru
29
1995
Curves, K3 surfaces and Fano 3-folds of genus \(\leq 10\). Zbl 0701.14044
Mukai, Shigeru
29
1988
Maximal subbundles of vector bundles on a curve. Zbl 0572.14008
Mukai, Shigeru; Sakai, Fumio
28
1985
Curves and Grassmannians. Zbl 0846.14030
Mukai, Shigeru
26
1993
Polarized K3 surfaces of genus 18 and 20. Zbl 0774.14035
Mukai, Shigeru
26
1992
Minimal rational threefolds. Zbl 0526.14006
Mukai, Shigeru; Umemura, Hiroshi
23
1983
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
22
1986
Automorphisms of Enriques surfaces which act trivially on the cohomology groups. Zbl 0559.14038
Mukai, Shigeru; Namikawa, Yukihiko
21
1984
Moduli of vector bundles on K3 surfaces, and symplectic manifolds. Zbl 0685.14021
Mukai, Shigeru
19
1987
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
19
1983
Geometric realization of \(T\)-shaped root systems and counterexamples to Hilbert’s fourteenth problem. Zbl 1108.13300
Mukai, Shigeru
17
2004
Duality of polarized K3 surfaces. Zbl 0948.14032
Mukai, Shigeru
16
1999
Curves and K3 surfaces of genus eleven. Zbl 0884.14010
Mukai, Shigeru
16
1996
Curves and symmetric spaces. Zbl 0768.14014
Mukai, Shigeru
14
1992
New developments of Fano varieties – on vector bundles and moduli problems. Zbl 0889.14020
Mukai, Shigeru
13
1995
Numerically trivial involutions of Kummer type of an Enriques surface. Zbl 1207.14038
Mukai, Shigeru
12
2010
Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics. Zbl 1291.14038
Mukai, Shigeru
11
2013
Curves and symmetric spaces. II. Zbl 1210.14034
Mukai, Shigeru
11
2010
Vector bundles and Brill-Noether theory. Zbl 0866.14024
Mukai, Shigeru
11
1995
Plane quartics and Fano threefolds of genus twelve. Zbl 1068.14050
Mukai, Shigeru
10
2004
Polarized \(K3\) surfaces of genus thirteen. Zbl 1117.14040
Mukai, Shigeru
9
2006
Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070
Mabuchi, Toshiki; Mukai, Shigeru
9
1993
Vector bundles on a \(K3\) surface. Zbl 1046.14016
Mukai, Shigeru
7
2002
Fourier functor and its application to the moduli of bundles on an abelian variety. Zbl 0672.14025
Mukai, Shigeru
7
1987
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
6
2009
Extremal rays and Fano 3-folds. Zbl 1070.14018
Mori, Shigefumi; Mukai, Shigeru
6
2004
Noncommutativizability of Brill-Noether theory and 3-dimensional Fano variety. Zbl 0929.14021
Mukai, Shigeru
6
1997
Moduli of vector bundles on K3 surfaces and symplectic manifolds. Zbl 0651.14003
Mukai, Shigeru
6
1987
Kummer’s quartics and numerically reflective involutions of Enriques surfaces. Zbl 1237.14046
Mukai, Shigeru
3
2012
\(K3\) surfaces of genus sixteen. Zbl 1369.14049
Mukai, Shigeru
2
2016
The automorphism group of Enriques surfaces covered by symmetric quartic surfaces. Zbl 1326.14097
Mukai, Shigeru; Ohashi, Hisanori
2
2014
Igusa quartic and Steiner surfaces. Zbl 1256.14045
Mukai, Shigeru
2
2012
Resultants and the Borcherds \(\Phi\)-function. Zbl 1425.14033
Kawaguchi, Shu; Mukai, Shigeru; Yoshikawa, Ken-Ichi
1
2018
Enriques surfaces of Hutchinson-Göpel type and Mathieu automorphisms. Zbl 1302.14031
Mukai, Shigeru; Ohashi, Hisanori
1
2013
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
1
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
Usui, Sampei (ed.); Green, Mark (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Looijenga, Eduard (ed.); Mukai, Shigeru (ed.); Saito, Shuji (ed.)
1
2002
Resultants and the Borcherds \(\Phi\)-function. Zbl 1425.14033
Kawaguchi, Shu; Mukai, Shigeru; Yoshikawa, Ken-Ichi
1
2018
\(K3\) surfaces of genus sixteen. Zbl 1369.14049
Mukai, Shigeru
2
2016
The automorphism group of Enriques surfaces covered by symmetric quartic surfaces. Zbl 1326.14097
Mukai, Shigeru; Ohashi, Hisanori
2
2014
Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics. Zbl 1291.14038
Mukai, Shigeru
11
2013
Enriques surfaces of Hutchinson-Göpel type and Mathieu automorphisms. Zbl 1302.14031
Mukai, Shigeru; Ohashi, Hisanori
1
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
1
2012
Numerically trivial involutions of Kummer type of an Enriques surface. Zbl 1207.14038
Mukai, Shigeru
12
2010
Curves and symmetric spaces. II. Zbl 1210.14034
Mukai, Shigeru
11
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
6
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
17
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
6
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
7
2002
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
Usui, Sampei (ed.); Green, Mark (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Looijenga, Eduard (ed.); Mukai, Shigeru (ed.); Saito, Shuji (ed.)
1
2002
Duality of polarized K3 surfaces. Zbl 0948.14032
Mukai, Shigeru
16
1999
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
16
1996
Curves and symmetric spaces. I. Zbl 0871.14025
Mukai, Shigeru
29
1995
New developments of Fano varieties – on vector bundles and moduli problems. Zbl 0889.14020
Mukai, Shigeru
13
1995
Vector bundles and Brill-Noether theory. Zbl 0866.14024
Mukai, Shigeru
11
1995
Curves and Grassmannians. Zbl 0846.14030
Mukai, Shigeru
26
1993
Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070
Mabuchi, Toshiki; Mukai, Shigeru
9
1993
Fano 3-folds. Zbl 0774.14037
Mukai, Shigeru
51
1992
Polarized K3 surfaces of genus 18 and 20. Zbl 0774.14035
Mukai, Shigeru
26
1992
Curves and symmetric spaces. Zbl 0768.14014
Mukai, Shigeru
14
1992
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3. Zbl 0679.14020
Mukai, Shigeru
80
1989
Finite groups of automorphisms of K3 surfaces and the Mathieu group. Zbl 0705.14045
Mukai, Shigeru
89
1988
Curves, K3 surfaces and Fano 3-folds of genus \(\leq 10\). Zbl 0701.14044
Mukai, Shigeru
29
1988
On the moduli space of bundles on \(K3\) surfaces. I. Zbl 0674.14023
Mukai, S.
73
1987
Moduli of vector bundles on K3 surfaces, and symplectic manifolds. Zbl 0685.14021
Mukai, Shigeru
19
1987
Fourier functor and its application to the moduli of bundles on an abelian variety. Zbl 0672.14025
Mukai, Shigeru
7
1987
Moduli of vector bundles on K3 surfaces and symplectic manifolds. Zbl 0651.14003
Mukai, Shigeru
6
1987
Classification of Fano \(3\)-folds with \(B_ 2\geq 2\). I. Zbl 0800.14021
Mori, Shigefumi; Mukai, Shigeru
22
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
176
1984
Automorphisms of Enriques surfaces which act trivially on the cohomology groups. Zbl 0559.14038
Mukai, Shigeru; Namikawa, Yukihiko
21
1984
The uniruledness of the moduli space of curves of genus 11. Zbl 0557.14015
Mori, Shigefumi; Mukai, Shigeru
35
1983
Minimal rational threefolds. Zbl 0526.14006
Mukai, Shigeru; Umemura, Hiroshi
23
1983
On Fano 3-folds with \(B_ 2\geq 2\). Zbl 0537.14026
Mori, Shigefumi; Mukai, Shigeru
19
1983
Duality between \(D(X)\) and \(D(\hat X)\) with its application to Picard sheaves. Zbl 0417.14036
Mukai, Shigeru
195
1981
Classification of Fano 3-folds with \(B_ 2 \geq 2\). Zbl 0478.14033
Mori, Shigefumi; Mukai, Shigeru
114
1981
Semi-homogeneous vector bundles on an abelian variety. Zbl 0417.14029
Mukai, Shigeru
39
1978
all top 5

Cited by 945 Authors

12 Ciliberto, Ciro
12 Yoshioka, Kōta
11 Farkas, Gavril
10 Iliev, Atanas Iliev
10 Kuznetsov, Aleksandr Gennad’evich
9 Biswas, Indranil
9 Chen, Jungkai Alfred
9 Garbagnati, Alice
9 Hacon, Christopher Derek
9 Hassett, Brendan
9 Knutsen, Andreas Leopold
9 Maciocia, Antony
9 Pareschi, Giuseppe
9 Ranestad, Kristian
9 Stellari, Paolo
8 Ballico, Edoardo
8 Kondō, Shigeyuki
8 Markman, Eyal
8 Oguiso, Keiji
8 Popa, Mihnea
8 Takagi, Hiromichi
8 Tschinkel, Yuri
8 Yau, Shing-Tung
8 Zhang, De-Qi
7 Bruzzo, Ugo
7 Cheltsov, Ivan Anatol’evich
7 Faenzi, Daniele
7 Fujita, Kento
7 Macrì, Emanuele
7 Markushevich, Dimitri Genrikhovich
7 Mukai, Shigeru
7 Nakashima, Tohru
7 Prokhorov, Yuriĭ Gennad’evich
7 Shramov, Konstantin Aleksandrovich
6 Dolgachev, Igor’ Vladimirovich
6 Hernández Ruipérez, Daniel
6 Keum, Jonghae
6 Lange, Herbert
6 Lopez, Angelo Felice
6 Massarenti, Alex
6 Mongardi, Giovanni
6 Newstead, Peter E.
6 O’Grady, Kieran G.
6 Polishchuk, Alexander Evgen’evich
6 Schreyer, Frank-Olaf
6 Süss, Hendrik
6 Verra, Alessandro
5 Eisenbud, David
5 Flamini, Flaminio
5 Huybrechts, Daniel
5 Li, Jun
5 López Martín, Ana Cristina
5 Manivel, Laurent
5 Miura, Makoto
5 Muñoz, Roberto
5 Nikulin, Vyacheslav Valentinovich
5 Occhetta, Gianluca
5 Peternell, Thomas Martin
5 Rapagnetta, Antonio
5 Sarti, Alessandra
5 Sawon, Justin
5 Staglianò, Giovanni
5 Tsukioka, Toru
5 Voisin, Claire
5 Zhang, Lei
5 Zucconi, Francesco
4 Aprodu, Marian
4 Bridgeland, Tom
4 Casagrande, Cinzia
4 Dedieu, Thomas
4 Furushima, Mikio
4 Galati, Concettina
4 Govindarajan, Suresh
4 Harrison, Sarah M.
4 Hosono, Shinobu
4 Hurtubise, Jacques C.
4 Ilten, Nathan Owen
4 Ito, Atsushi M.
4 Jiang, Zhi
4 Klemm, Albrecht
4 Laface, Antonio
4 Lahoz, Martí
4 Lanteri, Antonio
4 Laza, Radu
4 Lian, Bong H.
4 Mella, Massimiliano
4 Michałek, Mateusz
4 Muñoz Porras, José María
4 Ohashi, Hisanori
4 Oprea, Dragos
4 Ottaviani, Giorgio Maria
4 Pioli, Fabio
4 Saccà, Giulia
4 Tejero Prieto, Carlos
4 Ueda, Kazushi
4 Wendland, Katrin
4 Whitcher, Ursula A.
3 Addington, Nicolas M.
3 Araujo, Carolina
3 Banlaki, Andreas
...and 845 more Authors
all top 5

Cited in 146 Serials

50 Mathematische Annalen
49 Advances in Mathematics
48 Mathematische Zeitschrift
40 Journal of Algebraic Geometry
39 Duke Mathematical Journal
36 International Journal of Mathematics
35 Journal of Algebra
35 Transactions of the American Mathematical Society
27 Journal of Geometry and Physics
27 Manuscripta Mathematica
26 Compositio Mathematica
23 Proceedings of the American Mathematical Society
23 Journal of High Energy Physics
22 Journal für die Reine und Angewandte Mathematik
21 Nagoya Mathematical Journal
19 Communications in Algebra
19 Nuclear Physics. B
19 Inventiones Mathematicae
18 Annales de l’Institut Fourier
16 Journal of Pure and Applied Algebra
14 Geometriae Dedicata
13 Kyoto Journal of Mathematics
12 Michigan Mathematical Journal
11 Communications in Mathematical Physics
11 Proceedings of the Japan Academy. Series A
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Journal of the American Mathematical Society
10 European Journal of Mathematics
8 Mathematische Nachrichten
8 Selecta Mathematica. New Series
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Izvestiya: Mathematics
7 Geometry & Topology
7 Central European Journal of Mathematics
6 Journal of Mathematical Physics
6 Collectanea Mathematica
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Documenta Mathematica
6 Communications in Contemporary Mathematics
5 Mathematical Notes
5 Archiv der Mathematik
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Annals of Mathematics. Second Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Osaka Journal of Mathematics
4 Tohoku Mathematical Journal. Second Series
4 Tokyo Journal of Mathematics
4 Indagationes Mathematicae. New Series
4 Experimental Mathematics
4 Journal of Mathematical Sciences (New York)
4 Journal of the European Mathematical Society (JEMS)
4 Advances in Geometry
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
4 Journal de l’École Polytechnique – Mathématiques
4 Bollettino dell’Unione Matematica Italiana
3 Rocky Mountain Journal of Mathematics
3 Canadian Journal of Mathematics
3 Rendiconti del Seminario Matematico della Università di Padova
3 Differential Geometry and its Applications
3 The Journal of Geometric Analysis
3 Linear Algebra and its Applications
3 Transformation Groups
3 Revista Matemática Complutense
3 Forum of Mathematics, Sigma
2 Physics Letters. B
2 Russian Mathematical Surveys
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Beiträge zur Algebra und Geometrie
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of the Mathematical Society of Japan
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 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Bulletin des Sciences Mathématiques
2 Representation Theory
2 Algebras and Representation Theory
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Milan Journal of Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Algebra & Number Theory
2 Science China. Mathematics
2 Research in the Mathematical Sciences
...and 46 more Serials

Citations by Year

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