Edit Profile (opens in new tab) Miyaoka, Yoichi Co-Author Distance Author ID: miyaoka.yoichi Published as: Miyaoka, Yoichi; Miyaoka, Y. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 33 Publications since 1974, including 1 Book 6 Contributions as Editor Co-Authors: 22 Co-Authors with 15 Joint Publications 530 Co-Co-Authors all top 5 Co-Authors 24 single-authored 8 Mori, Shigefumi 5 Kollár, János 2 Kawamata, Yujiro 2 Lu, Steven Shin-Yi 2 Mukai, Shigeru 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 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 all top 5 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 all top 5 Fields 38 Algebraic geometry (14-XX) 9 Several complex variables and analytic spaces (32-XX) 7 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 1,089 times in 864 Documents Cited by ▼ Year ▼ Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 160 1992 Rationally connected varieties. Zbl 0780.14026 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 128 1992 The Chern classes and Kodaira dimension of a minimal variety. Zbl 0648.14006 Miyaoka, Yoichi 127 1987 The maximal number of quotient singularities on surfaces with given numerical invariants. Zbl 0521.14013 Miyaoka, Yoichi 91 1984 A numerical criterion for uniruledness. Zbl 0606.14030 Miyaoka, Yoichi; Mori, Shigefumi 85 1986 On the Chern numbers of surfaces of general type. Zbl 0374.14007 Miyaoka, Yoichi 83 1977 Characterizations of projective space and applications to complex symplectic manifolds. Zbl 1063.14065 Cho, Koji; Miyaoka, Yoichi; Shepherd-Barron, N. I. 72 2002 Deformations of a morphism along a foliation and applications. Zbl 0659.14008 Miyaoka, Yoichi 41 1987 Geometry of higher dimensional algebraic varieties. Zbl 0865.14018 Miyaoka, Yoichi; Peternell, Thomas 35 1997 Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi 33 2000 On the Kodaira dimension of minimal threefolds. Zbl 0625.14023 Miyaoka, Yoichi 31 1988 Kähler metrics on elliptic surfaces. Zbl 0354.32011 Miyaoka, Yoichi 27 1974 Tricanonical maps of numerical Godeaux surfaces. Zbl 0337.14010 Miyaoka, Yoichi 25 1976 Abundance conjecture for 3-folds: Case \(\nu =1\). Zbl 0681.14019 Miyaoka, Yoichi 20 1988 Extension theorems for Kähler metrics. Zbl 0354.32010 Miyaoka, Yoichi 18 1974 The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem. Zbl 1162.14026 Miyaoka, Yoichi 16 2008 Algebraic surfaces with positive indices. Zbl 0584.14022 Miyaoka, Yoichi 14 1983 Rational curves on Fano varieties. Zbl 0776.14012 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 14 1992 Numerical characterisations of hyperquadrics. Zbl 1072.14528 Miyaoka, Yoichi 13 2004 Relative deformations of morphisms and applications to fibre spaces. Zbl 0813.14001 Miyaoka, Yoichi 8 1993 Bounding curves in algebraic surfaces by genus and Chern numbers. Zbl 0870.14020 Lu, Steven Shin-Yi; Miyaoka, Yoichi 8 1995 Bounding codimension-one subvarieties and a general inequality between Chern numbers. Zbl 0890.14028 Lu, Steven Shin-Yi; Miyaoka, Yoichi 7 1997 Theme and variations – inequalities between Chern numbers. Zbl 0749.14006 Miyaoka, Yoichi 7 1989 On the Mumford-Ramanujam vanishing theorem on a surface. Zbl 0446.14007 Miyaoka, Yoichi 6 1980 Counting lines and conics on a surface. Zbl 1185.14050 Miyaoka, Yoichi 5 2009 Rational curves on algebraic varieties. Zbl 0866.14012 Miyaoka, Yoichi 4 1995 On numerical Campedelli surfaces. Zbl 0365.14007 Miyaoka, Y. 4 1977 Numerical characterisations of hyperquadrics. Zbl 1063.14050 Miyaoka, Yoichi 3 2004 Stable Higgs bundles with trivial Chern classes. Several examples. Zbl 1312.14100 Miyaoka, Yoichi 3 2009 Birational geometry of algebraic varieties: open problems. Proceedings of the 23rd Taniguchi international symposium, Katata, Japan, August 22 – 27, 1988. Zbl 1497.00008 1 1988 Tricanonical map of a certain class of surfaces. Zbl 0362.14012 Miyaoka, Yoichi 1 1975 Counting lines and conics on a surface. Zbl 1185.14050 Miyaoka, Yoichi 5 2009 Stable Higgs bundles with trivial Chern classes. Several examples. Zbl 1312.14100 Miyaoka, Yoichi 3 2009 The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem. Zbl 1162.14026 Miyaoka, Yoichi 16 2008 Numerical characterisations of hyperquadrics. Zbl 1072.14528 Miyaoka, Yoichi 13 2004 Numerical characterisations of hyperquadrics. Zbl 1063.14050 Miyaoka, Yoichi 3 2004 Characterizations of projective space and applications to complex symplectic manifolds. Zbl 1063.14065 Cho, Koji; Miyaoka, Yoichi; Shepherd-Barron, N. I. 72 2002 Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi 33 2000 Geometry of higher dimensional algebraic varieties. Zbl 0865.14018 Miyaoka, Yoichi; Peternell, Thomas 35 1997 Bounding codimension-one subvarieties and a general inequality between Chern numbers. Zbl 0890.14028 Lu, Steven Shin-Yi; Miyaoka, Yoichi 7 1997 Bounding curves in algebraic surfaces by genus and Chern numbers. Zbl 0870.14020 Lu, Steven Shin-Yi; Miyaoka, Yoichi 8 1995 Rational curves on algebraic varieties. Zbl 0866.14012 Miyaoka, Yoichi 4 1995 Relative deformations of morphisms and applications to fibre spaces. Zbl 0813.14001 Miyaoka, Yoichi 8 1993 Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 160 1992 Rationally connected varieties. Zbl 0780.14026 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 128 1992 Rational curves on Fano varieties. Zbl 0776.14012 Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 14 1992 Theme and variations – inequalities between Chern numbers. Zbl 0749.14006 Miyaoka, Yoichi 7 1989 On the Kodaira dimension of minimal threefolds. Zbl 0625.14023 Miyaoka, Yoichi 31 1988 Abundance conjecture for 3-folds: Case \(\nu =1\). Zbl 0681.14019 Miyaoka, Yoichi 20 1988 Birational geometry of algebraic varieties: open problems. Proceedings of the 23rd Taniguchi international symposium, Katata, Japan, August 22 – 27, 1988. Zbl 1497.00008 1 1988 The Chern classes and Kodaira dimension of a minimal variety. Zbl 0648.14006 Miyaoka, Yoichi 127 1987 Deformations of a morphism along a foliation and applications. Zbl 0659.14008 Miyaoka, Yoichi 41 1987 A numerical criterion for uniruledness. Zbl 0606.14030 Miyaoka, Yoichi; Mori, Shigefumi 85 1986 The maximal number of quotient singularities on surfaces with given numerical invariants. Zbl 0521.14013 Miyaoka, Yoichi 91 1984 Algebraic surfaces with positive indices. Zbl 0584.14022 Miyaoka, Yoichi 14 1983 On the Mumford-Ramanujam vanishing theorem on a surface. Zbl 0446.14007 Miyaoka, Yoichi 6 1980 On the Chern numbers of surfaces of general type. Zbl 0374.14007 Miyaoka, Yoichi 83 1977 On numerical Campedelli surfaces. Zbl 0365.14007 Miyaoka, Y. 4 1977 Tricanonical maps of numerical Godeaux surfaces. Zbl 0337.14010 Miyaoka, Yoichi 25 1976 Tricanonical map of a certain class of surfaces. Zbl 0362.14012 Miyaoka, Yoichi 1 1975 Kähler metrics on elliptic surfaces. Zbl 0354.32011 Miyaoka, Yoichi 27 1974 Extension theorems for Kähler metrics. Zbl 0354.32010 Miyaoka, Yoichi 18 1974 all cited Publications top 5 cited Publications all top 5 Cited by 733 Authors 18 Campana, Frédéric 16 Kollár, János 16 Prokhorov, Yuriĭ Gennad’evich 15 Peternell, Thomas Martin 14 Biswas, Indranil 11 Höring, Andreas 11 Pokora, Piotr 10 Ciliberto, Ciro 10 Watanabe, Kiwamu 9 Araujo, Carolina 9 Miyaoka, Yoichi 9 Occhetta, Gianluca 8 Chen, Meng 8 Druel, Stéphane 8 Fukuma, Yoshiaki 8 Liu, Jie 7 Birkar, Caucher 7 Fujimoto, Yoshio 7 Kanemitsu, Akihiro 7 Kebekus, Stefan 7 Lehmann, Brian 7 Matsumura, Shin-ichi 7 Pereira, Jorge Vitório 7 Xu, Chenyang 6 Gongyo, Yoshinori 6 Langer, Adrian 6 Lazić, Vladimir 6 Misra, Snehajit 6 Novelli, Carla 6 Ou, Wenhao 6 Paun, Mihai 6 Rams, Sławomir 6 Solá-Conde, Luis-Eduardo 6 Voisin, Claire 6 Zhang, De-Qi 6 Zhang, Lei 5 Andreatta, Marco 5 Beltrametti, Mauro C. 5 Bruzzo, Ugo 5 Cascini, Paolo 5 Catanese, Fabrizio M. E. 5 Demailly, Jean-Pierre 5 Flamini, Flaminio 5 Fu, Baohua 5 Fujita, Kento 5 Iwai, Masataka 5 Kovács, Sándor J. 5 Lee, Yongnam 5 Massarenti, Alex 5 McQuillan, Michael 5 Pardini, Rita 5 Roulleau, Xavier 5 Rousseau, Erwan 5 Shramov, Konstantin Aleksandrovich 5 Starr, Jason Michael 5 Szemberg, Tomasz 5 Taji, Behrouz 5 Verbitsky, Misha 5 Yang, Xiao-Kui 5 Zhong, Guolei 4 Alessandrini, Lucia 4 Ballico, Edoardo 4 Bassanelli, Giovanni 4 Bauer, Thomas 4 Beheshti, Roya 4 Blanc, Jérémy 4 Castravet, Ana-Maria 4 Cheltsov, Ivan Anatol’evich 4 Fontanari, Claudio 4 Fujino, Osamu 4 Harris, Joseph Daniel 4 Jiang, Chen 4 Keum, Jonghae 4 Kobayashi, Ryoichi 4 Koras, Mariusz 4 Lanteri, Antonio 4 Liu, Yuchen 4 Lu, Jun 4 McKernan, James 4 Mendes Lopes, Margarida 4 Moraga Saez, Joaquín Leonardo 4 Nakashima, Tohru 4 Schreieder, Stefan 4 Suzuki, Taku 4 Tan, Sheng-Li 4 Tanaka, Hiromu 4 Tanimoto, Sho 4 Tian, Zhiyu 4 Toma, Matei 4 Tschinkel, Yuri 4 Zaidenberg, Mikhail G. 4 Zhang, Qi 4 Zhu, Yi 4 Zuo, Kang 3 Amerik, Ekaterina Yu. 3 Anella, Fabrizio 3 Angella, Daniele 3 Barja, Miguel Ángel 3 Bastianelli, Francesco 3 Bogomolov, Fedor Alekseivich ...and 633 more Authors all top 5 Cited in 148 Serials 54 Mathematische Annalen 39 Mathematische Zeitschrift 28 Inventiones Mathematicae 27 Manuscripta Mathematica 27 Journal of Algebraic Geometry 24 Transactions of the American Mathematical Society 23 International Journal of Mathematics 22 Advances in Mathematics 22 Proceedings of the American Mathematical Society 21 Journal für die Reine und Angewandte Mathematik 20 Annales de l’Institut Fourier 20 Journal of Pure and Applied Algebra 19 Duke Mathematical Journal 18 Compositio Mathematica 17 Journal of Algebra 15 Geometriae Dedicata 14 Tôhoku Mathematical Journal. Second Series 14 European Journal of Mathematics 11 Mathematische Nachrichten 10 Osaka Journal of Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Proceedings of the Japan Academy. Series A 9 Geometry & Topology 9 Journal of the European Mathematical Society (JEMS) 8 Communications in Algebra 8 Archiv der Mathematik 8 Nagoya Mathematical Journal 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 The Journal of Geometric Analysis 8 Science China. Mathematics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Bulletin de la Société Mathématique de France 7 Journal of the Mathematical Society of Japan 7 Algebra & Number Theory 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Geometric and Functional Analysis. GAFA 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Selecta Mathematica. New Series 6 Documenta Mathematica 6 Journal of High Energy Physics 6 Japanese Journal of Mathematics. 3rd Series 5 Journal of Geometry and Physics 5 Journal of the London Mathematical Society. Second Series 5 Michigan Mathematical Journal 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Communications in Contemporary Mathematics 5 Journal of the Institute of Mathematics of Jussieu 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Proceedings of the Steklov Institute of Mathematics 5 Journal de l’École Polytechnique – Mathématiques 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Publications Mathématiques 4 Journal of the American Mathematical Society 4 Science in China. Series A 4 Differential Geometry and its Applications 4 Journal of Mathematical Sciences (New York) 4 Taiwanese Journal of Mathematics 4 Advances in Geometry 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Central European Journal of Mathematics 4 Journal of Algebra and its Applications 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin of the London Mathematical Society 3 Collectanea Mathematica 3 Commentarii Mathematici Helvetici 3 Proceedings of the London Mathematical Society. Third Series 3 Tokyo Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Annals of Mathematics. Second Series 3 Mediterranean Journal of Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Forum of Mathematics, Sigma 3 Electronic Research Archive 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Beiträge zur Algebra und Geometrie 2 American Journal of Mathematics 2 Glasgow Mathematical Journal 2 Journal of Differential Geometry 2 Pacific Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Topology and its Applications 2 Annals of Global Analysis and Geometry 2 Discrete & Computational Geometry 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 Acta Mathematica Sinica. New Series 2 Experimental Mathematics 2 Turkish Journal of Mathematics 2 The Electronic Journal of Combinatorics 2 Bulletin des Sciences Mathématiques 2 Electronic Research Announcements of the American Mathematical Society 2 Izvestiya: Mathematics 2 Transformation Groups 2 Milan Journal of Mathematics 2 Oberwolfach Reports 2 Proceedings of the Japan Academy ...and 48 more Serials all top 5 Cited in 30 Fields 774 Algebraic geometry (14-XX) 216 Several complex variables and analytic spaces (32-XX) 104 Differential geometry (53-XX) 37 Manifolds and cell complexes (57-XX) 30 Dynamical systems and ergodic theory (37-XX) 26 Number theory (11-XX) 15 Commutative algebra (13-XX) 12 Group theory and generalizations (20-XX) 10 Convex and discrete geometry (52-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Geometry (51-XX) 4 Information and communication theory, circuits (94-XX) 3 General algebraic systems (08-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 \(K\)-theory (19-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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