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Miyaoka, Yoichi

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 Author ID: miyaoka.yoichi Published as: Miyaoka, Yoichi; Miyaoka, Y. External Links: IdRef · MGP · Wikidata · GND
 Documents Indexed: 38 Publications since 1974, including 4 Books
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Co-Authors

 24 single-authored 7 Mori, Shigefumi 4 Kollár, János 2 Kawamata, Yujiro 2 Lu, Steven Shin-Yi 1 Cho, Koji 1 Demailly, Jean-Pierre 1 Fujiki, Akira 1 Futaki, Akito 1 Hacon, Christopher Derek 1 Kato, Kazuya 1 Katsura, Toshiyuki 1 Kobayashi, Toshiyuki 1 Mabuchi, Toshiki 1 Moriwaki, Atsushi 1 Mukai, Shigeru 1 Nkamura, Iku 1 Noguchi, Junjiro 1 Peternell, Thomas Martin 1 Schmid, Wilfried 1 Shepherd-Barron, Nicholas Ian 1 Takagi, Hiromichi 1 Van der Geer, Gerard
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Serials

 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Mathematical Sciences. University of Tokyo 2 Proceedings of the Japan Academy 2 Advanced Studies in Pure Mathematics 1 American Journal of Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Compositio Mathematica 1 Journal of Differential Geometry 1 Proceedings of the Japan Academy. Series A 1 Sugaku Expositions 1 International Journal of Mathematics 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 DMV Seminar 1 Proceedings of the Steklov Institute of Mathematics
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Fields

 37 Algebraic geometry (14-XX) 9 Several complex variables and analytic spaces (32-XX) 6 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX)

Citations contained in zbMATH Open

29 Publications have been cited 749 times in 597 Documents Cited by Year
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
The maximal number of quotient singularities on surfaces with given numerical invariants. Zbl 0521.14013
Miyaoka, Yoichi
1984
On the Chern numbers of surfaces of general type. Zbl 0374.14007
Miyaoka, Yoichi
1977
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
1986
Characterizations of projective space and applications to complex symplectic manifolds. Zbl 1063.14065
Cho, Koji; Miyaoka, Yoichi; Shepherd-Barron, N. I.
2002
The Chern classes and Kodaira dimension of a minimal variety. Zbl 0648.14006
Miyaoka, Yoichi
1987
On the Kodaira dimension of minimal threefolds. Zbl 0625.14023
Miyaoka, Yoichi
1988
Geometry of higher dimensional algebraic varieties. Zbl 0865.14018
Miyaoka, Yoichi; Peternell, Thomas
1997
Boundedness of canonical $$\mathbb{Q}$$-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
2000
Kähler metrics on elliptic surfaces. Zbl 0354.32011
Miyaoka, Yoichi
1974
Tricanonical maps of numerical Godeaux surfaces. Zbl 0337.14010
Miyaoka, Yoichi
1976
Extension theorems for Kähler metrics. Zbl 0354.32010
Miyaoka, Yoichi
1974
Abundance conjecture for 3-folds: Case $$\nu =1$$. Zbl 0681.14019
Miyaoka, Yoichi
1988
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem. Zbl 1162.14026
Miyaoka, Yoichi
2008
Deformations of a morphism along a foliation and applications. Zbl 0659.14008
Miyaoka, Yoichi
1987
Numerical characterisations of hyperquadrics. Zbl 1072.14528
Miyaoka, Yoichi
2004
Bounding curves in algebraic surfaces by genus and Chern numbers. Zbl 0870.14020
Lu, Steven Shin-Yi; Miyaoka, Yoichi
1995
Theme and variations – inequalities between Chern numbers. Zbl 0749.14006
Miyaoka, Yoichi
1989
Bounding codimension-one subvarieties and a general inequality between Chern numbers. Zbl 0890.14028
Lu, Steven Shin-Yi; Miyaoka, Yoichi
1997
Relative deformations of morphisms and applications to fibre spaces. Zbl 0813.14001
Miyaoka, Yoichi
1993
Algebraic surfaces with positive indices. Zbl 0584.14022
Miyaoka, Yoichi
1983
Rational curves on algebraic varieties. Zbl 0866.14012
Miyaoka, Yoichi
1995
On the Mumford-Ramanujam vanishing theorem on a surface. Zbl 0446.14007
Miyaoka, Yoichi
1980
On numerical Campedelli surfaces. Zbl 0365.14007
Miyaoka, Y.
1977
Numerical characterisations of hyperquadrics. Zbl 1063.14050
Miyaoka, Yoichi
2004
Stable Higgs bundles with trivial Chern classes. Several examples. Zbl 1312.14100
Miyaoka, Yoichi
2009
Counting lines and conics on a surface. Zbl 1185.14050
Miyaoka, Yoichi
2009
Stable Higgs bundles with trivial Chern classes. Several examples. Zbl 1312.14100
Miyaoka, Yoichi
2009
Counting lines and conics on a surface. Zbl 1185.14050
Miyaoka, Yoichi
2009
The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem. Zbl 1162.14026
Miyaoka, Yoichi
2008
Numerical characterisations of hyperquadrics. Zbl 1072.14528
Miyaoka, Yoichi
2004
Numerical characterisations of hyperquadrics. Zbl 1063.14050
Miyaoka, Yoichi
2004
Characterizations of projective space and applications to complex symplectic manifolds. Zbl 1063.14065
Cho, Koji; Miyaoka, Yoichi; Shepherd-Barron, N. I.
2002
Boundedness of canonical $$\mathbb{Q}$$-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
2000
Geometry of higher dimensional algebraic varieties. Zbl 0865.14018
Miyaoka, Yoichi; Peternell, Thomas
1997
Bounding codimension-one subvarieties and a general inequality between Chern numbers. Zbl 0890.14028
Lu, Steven Shin-Yi; Miyaoka, Yoichi
1997
Bounding curves in algebraic surfaces by genus and Chern numbers. Zbl 0870.14020
Lu, Steven Shin-Yi; Miyaoka, Yoichi
1995
Rational curves on algebraic varieties. Zbl 0866.14012
Miyaoka, Yoichi
1995
Relative deformations of morphisms and applications to fibre spaces. Zbl 0813.14001
Miyaoka, Yoichi
1993
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
Theme and variations – inequalities between Chern numbers. Zbl 0749.14006
Miyaoka, Yoichi
1989
On the Kodaira dimension of minimal threefolds. Zbl 0625.14023
Miyaoka, Yoichi
1988
Abundance conjecture for 3-folds: Case $$\nu =1$$. Zbl 0681.14019
Miyaoka, Yoichi
1988
The Chern classes and Kodaira dimension of a minimal variety. Zbl 0648.14006
Miyaoka, Yoichi
1987
Deformations of a morphism along a foliation and applications. Zbl 0659.14008
Miyaoka, Yoichi
1987
A numerical criterion for uniruledness. Zbl 0606.14030
Miyaoka, Yoichi; Mori, Shigefumi
1986
The maximal number of quotient singularities on surfaces with given numerical invariants. Zbl 0521.14013
Miyaoka, Yoichi
1984
Algebraic surfaces with positive indices. Zbl 0584.14022
Miyaoka, Yoichi
1983
On the Mumford-Ramanujam vanishing theorem on a surface. Zbl 0446.14007
Miyaoka, Yoichi
1980
On the Chern numbers of surfaces of general type. Zbl 0374.14007
Miyaoka, Yoichi
1977
On numerical Campedelli surfaces. Zbl 0365.14007
Miyaoka, Y.
1977
Tricanonical maps of numerical Godeaux surfaces. Zbl 0337.14010
Miyaoka, Yoichi
1976
Kähler metrics on elliptic surfaces. Zbl 0354.32011
Miyaoka, Yoichi
1974
Extension theorems for Kähler metrics. Zbl 0354.32010
Miyaoka, Yoichi
1974
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Cited by 513 Authors

 14 Kollár, János 12 Campana, Frédéric 11 Biswas, Indranil 11 Peternell, Thomas Martin 10 Prokhorov, Yuriĭ Gennad’evich 9 Miyaoka, Yoichi 9 Occhetta, Gianluca 8 Ciliberto, Ciro 8 Höring, Andreas 7 Chen, Meng 7 Druel, Stéphane 7 Fujimoto, Yoshio 7 Pokora, Piotr 7 Watanabe, Kiwamu 7 Xu, Chenyang 6 Araujo, Carolina 6 Paun, Mihai 5 Beltrametti, Mauro C. 5 Birkar, Caucher 5 Demailly, Jean-Pierre 5 Fujita, Kento 5 Gongyo, Yoshinori 5 Kanemitsu, Akihiro 5 Kebekus, Stefan 5 Lee, Yongnam 5 Lehmann, Brian 5 Novelli, Carla 5 Roulleau, Xavier 5 Solá-Conde, Luis-Eduardo 5 Starr, Jason Michael 5 Zhang, De-Qi 4 Alessandrini, Lucia 4 Andreatta, Marco 4 Bassanelli, Giovanni 4 Catanese, Fabrizio M. E. 4 Flamini, Flaminio 4 Fu, Baohua 4 Harris, Joseph Daniel 4 Keum, Jonghae 4 Kobayashi, Ryoichi 4 Koras, Mariusz 4 Lanteri, Antonio 4 Liu, Jie 4 McKernan, James 4 Pardini, Rita 4 Pereira, Jorge Vitório 4 Rams, Sławomir 4 Shramov, Konstantin Aleksandrovich 4 Tian, Zhiyu 4 Tschinkel, Yuri 4 Voisin, Claire 4 Zaidenberg, Mikhail G. 4 Zhang, Qi 3 Angella, Daniele 3 Ballico, Edoardo 3 Borisov, Lev A. 3 Broustet, Amaël 3 Calabri, Alberto 3 Cascini, Paolo 3 Chen, Jungkai Alfred 3 Chen, Qile 3 Corti, Alessio 3 Fujino, Osamu 3 Fukuma, Yoshiaki 3 Hacon, Christopher Derek 3 Hassett, Brendan 3 Heier, Gordon 3 Hwang, Dongseon 3 Kawamata, Yujiro 3 Kobayashi, Shoshichi 3 Kovács, Sándor J. 3 Lai, Ching-Jui 3 Langer, Adrian 3 Lazić, Vladimir 3 Massarenti, Alex 3 Matsuki, Kenji 3 McQuillan, Michael 3 Mendes Lopes, Margarida 3 Mok, Ngaiming 3 Nakayama, Noboru 3 Ou, Wenhao 3 Palka, Karol 3 Peters, Christiaan Anthonius Maria 3 Russell, Peter K. 3 Shen, Mingmin 3 Shokurov, Vyacheslav Vladimirovich 3 Sommese, Andrew John 3 Szemberg, Tomasz 3 Tanaka, Hiromu 3 Tomassini, Adriano 3 Verbitsky, Misha 3 Yang, Xiao-Kui 3 Zhang, Lei 3 Zhu, Yi 3 Zuo, Kang 2 Apostolov, Vestislav 2 Bakker, Benjamin 2 Bauer, Thomas 2 Biancofiore, Aldo 2 Blanc, Jérémy ...and 413 more Authors
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Cited in 118 Serials

 44 Mathematische Annalen 28 Inventiones Mathematicae 27 Mathematische Zeitschrift 23 Journal of Algebraic Geometry 19 Annales de l’Institut Fourier 19 Transactions of the American Mathematical Society 18 Duke Mathematical Journal 18 Manuscripta Mathematica 18 Proceedings of the American Mathematical Society 16 International Journal of Mathematics 15 Tohoku Mathematical Journal. Second Series 14 Advances in Mathematics 14 Journal für die Reine und Angewandte Mathematik 12 Compositio Mathematica 11 Journal of Pure and Applied Algebra 9 Geometriae Dedicata 9 Journal of Algebra 9 Osaka Journal of Mathematics 9 Proceedings of the Japan Academy. Series A 8 Archiv der Mathematik 8 European Journal of Mathematics 7 Communications in Algebra 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Nagoya Mathematical Journal 6 The Journal of Geometric Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Japanese Journal of Mathematics. 3rd Series 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of the Mathematical Society of Japan 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Selecta Mathematica. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Proceedings of the Steklov Institute of Mathematics 5 Science China. Mathematics 4 Bulletin de la Société Mathématique de France 4 Publications Mathématiques 4 Mathematische Nachrichten 4 Michigan Mathematical Journal 4 Journal of the American Mathematical Society 4 Science in China. Series A 4 Journal of Mathematical Sciences (New York) 4 Geometry & Topology 4 Bulletin of the Brazilian Mathematical Society. New Series 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Tokyo Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Bulletin of the American Mathematical Society. New Series 3 Documenta Mathematica 3 Taiwanese Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Communications in Contemporary Mathematics 3 Journal of High Energy Physics 3 Central European Journal of Mathematics 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Collectanea Mathematica 2 Glasgow Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Annals of Global Analysis and Geometry 2 Differential Geometry and its Applications 2 Acta Mathematica Sinica. New Series 2 Electronic Research Announcements of the American Mathematical Society 2 Transformation Groups 2 Advances in Geometry 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 Proceedings of the Japan Academy 2 Algebra & Number Theory 2 Kyoto Journal of Mathematics 2 EMS Surveys in Mathematical Sciences 2 Complex Manifolds 2 Bollettino dell’Unione Matematica Italiana 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Le Matematiche 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Topology and its Applications 1 Boletim da Sociedade Portuguesa de Matemática 1 Discrete & Computational Geometry 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics ...and 18 more Serials
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Cited in 24 Fields

 532 Algebraic geometry (14-XX) 153 Several complex variables and analytic spaces (32-XX) 73 Differential geometry (53-XX) 30 Manifolds and cell complexes (57-XX) 17 Number theory (11-XX) 17 Dynamical systems and ergodic theory (37-XX) 8 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 2 General algebraic systems (08-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX)

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