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## Reid, Miles

Compute Distance To:
 Author ID: reid.miles Published as: Reid, Miles; Reid, M. Homepage: http://www.warwick.ac.uk/staff/Miles.Reid External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 53 Publications since 1976, including 7 Books Biographic References: 1 Publication
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#### Co-Authors

 26 single-authored 5 Brown, Gavin Dennis 4 Corti, Alessio 4 Nikulin, Vyacheslav Valentinovich 4 Prokhorov, Yuriĭ Gennad’evich 3 Bogomolov, Fedor Alekseivich 3 Kulikov, Viktor Stepanovich 3 Manin, Yuri Ivanovich 3 Orlov, Dmitri O. 3 Parshin, Alexei N. 3 Pukhlikov, Aleksandr Valentinovich 2 Catanese, Fabrizio M. E. 2 Cheltsov, Ivan Anatol’evich 2 Hulek, Klaus 2 Shafarevich, Igor’ Rostislavovich 2 Shokurov, Vyacheslav Vladimirovich 2 Skorobogatov, Alexei Nikolaïevitch 2 Szendrői, Balázs 2 Zarkhin, Yuriĭ Gennad’evich 1 Altınok, Selma 1 Birch, Bryan John 1 Birkar, Caucher 1 Bridgeland, Tom 1 Colliot-Thélène, Jean-Louis 1 Craw, Alastair 1 Franciosi, Marco 1 Ito, Yukari 1 Kerber, Michael 1 King, Alastair D. 1 Kostrikin, Alekseĭ Ivanovich 1 Mendes Lopes, Margarida 1 Papadakis, Stavros Argyrios 1 Pardini, Rita 1 Peters, Christiaan Anthonius Maria 1 Prokhorov, A. N. Parshin. Yu. G. 1 Sankaran, Gregory Kumar 1 Stevens, Jan 1 Suzuki, Kaori 1 Tikhomirov, Alexander Sergeevich 1 Tyurin, Andreĭ Nikolaevich 1 Zhou, Shengtian
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#### Serials

 4 Russian Mathematical Surveys 3 London Mathematical Society Lecture Note Series 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 London Mathematical Society Student Texts 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of the Faculty of Science. Section I A 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Izvestiya: Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 EMS Surveys in Mathematical Sciences
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#### Fields

 46 Algebraic geometry (14-XX) 9 Commutative algebra (13-XX) 6 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 982 times in 788 Documents Cited by Year
The McKay correspondence as an equivalence of derived categories. Zbl 0966.14028
Bridgeland, Tom; King, Alastair; Reid, Miles
2001
Young person’s guide to canonical singularities. Zbl 0634.14003
Reid, Miles
1987
Chapters on algebraic surfaces. Zbl 0910.14016
Reid, Miles
1997
Minimal models of canonical 3-folds. Zbl 0558.14028
Reid, Miles
1983
The moduli space of 3-folds with $$K=0$$ may nevertheless be irreducible. Zbl 0649.14021
Reid, Miles
1987
Decomposition of toric morphisms. Zbl 0571.14020
Reid, Miles
1983
Nonnormal del Pezzo surfaces. Zbl 0867.14015
Reid, Miles
1994
Fano 3-fold hypersurfaces. Zbl 0960.14020
Corti, Alessio; Pukhlikov, Aleksandr; Reid, Miles
2000
Embeddings of curves and surfaces. Zbl 0933.14003
Catanese, Fabrizio; Franciosi, Marco; Hulek, Klaus; Reid, Miles
1999
The McKay correspondence for finite subgroups of $$SL(3,\mathbb{C})$$. Zbl 0894.14024
Ito, Yukari; Reid, Miles
1996
Canonical 3-folds. Zbl 0451.14014
Reid, Miles
1980
Reid, Miles
1988
McKay’s correspondence. (La correspondance de McKay.) Zbl 0996.14006
Reid, Miles
2002
How to calculate $$A$$-Hilb $$\mathbb{C}^3$$. Zbl 1080.14502
Craw, Alastair; Reid, Miles
2002
Surfaces with $$p_g=0$$, $$K^2=1$$. Zbl 0399.14025
Reid, Miles
1978
Kustin-Miller unprojection without complexes. Zbl 1071.14047
2004
Weighted Grassmannians. Zbl 1060.14071
Corti, Alessio; Reid, Miles
2002
Fano 3-folds in codimension 4, Tom and Jerry. I. Zbl 1258.14049
Brown, Gavin; Kerber, Michael; Reid, Miles
2012
Fano 3-folds, $$K3$$ surfaces and graded rings. Zbl 1047.14026
Altınok, Selma; Brown, Gavin; Reid, Miles
2002
Surfaces of small degree. Zbl 0579.14017
Reid, Miles
1986
Campedelli versus Godeaux. Zbl 0878.14029
Reid, Miles
1991
Special linear systems on curves lying on a K3 surface. Zbl 0339.14021
Reid, Miles
1976
Reid, Miles
1995
Explicit birational geometry of 3-folds. Zbl 0942.00009
Corti, Alessio (ed.); Reid, Miles (ed.)
2000
Bogomolov’s theorem $$c_ 1^ 2 \leq 4c_ 2$$. Zbl 0478.14003
Reid, Miles
1977
Gorenstein in codimension 4: the general structure theory. Zbl 1360.13036
Reid, Miles
2015
On $$\mathbb{Q}$$-Fano $$3$$-folds of Fano index 2. Zbl 1372.14033
Prokhorov, Yuri; Reid, Miles
2016
Hyperelliptic linear systems on a K3 surface. Zbl 0338.14009
Reid, Miles
1976
Ice cream and orbifold Riemann-Roch. Zbl 1273.14023
Buckley, A.; Reid, M.; Zhou, Shengtian
2013
Cascades of projections from log del Pezzo surfaces. Zbl 1069.14042
Reid, Miles; Suzuki, Kaori
2003
Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra. Zbl 0714.14010
Reid, Miles
1990
$$\pi_1$$ for surfaces with small $$K^2$$. Zbl 0423.14021
Reid, Miles
1979
Twenty five years of 3-folds. An old person’s view. Zbl 0961.14026
Reid, Miles
2000
Quadrics through a canonical surface. Zbl 0708.14027
Reid, Miles
1990
Campedelli surfaces with fundamental group of order 8. Zbl 1171.14024
Mendes Lopes, Margarida; Pardini, Rita; Reid, Miles
2009
Geometry and topology. Zbl 1085.51001
Reid, Miles; Szendrői, Balázs
2005
Diptych varieties, I. Zbl 1286.14029
Brown, Gavin; Reid, Miles
2013
Foreword to: Explicit geometry of 3-folds. Zbl 0960.14016
Corti, Alessio; Reid, Miles
2000
Rings and algebraic varieties. Zbl 1076.14501
Reid, Miles
2005
Tendencious survey of 3-folds. Zbl 0643.14022
Reid, Miles
1987
Diptych varieties. II: Apolar varieties. Zbl 1388.14137
Brown, Gavin; Reid, Miles
2017
Diptych varieties. II: Apolar varieties. Zbl 1388.14137
Brown, Gavin; Reid, Miles
2017
On $$\mathbb{Q}$$-Fano $$3$$-folds of Fano index 2. Zbl 1372.14033
Prokhorov, Yuri; Reid, Miles
2016
Gorenstein in codimension 4: the general structure theory. Zbl 1360.13036
Reid, Miles
2015
Ice cream and orbifold Riemann-Roch. Zbl 1273.14023
Buckley, A.; Reid, M.; Zhou, Shengtian
2013
Diptych varieties, I. Zbl 1286.14029
Brown, Gavin; Reid, Miles
2013
Fano 3-folds in codimension 4, Tom and Jerry. I. Zbl 1258.14049
Brown, Gavin; Kerber, Michael; Reid, Miles
2012
Campedelli surfaces with fundamental group of order 8. Zbl 1171.14024
Mendes Lopes, Margarida; Pardini, Rita; Reid, Miles
2009
Geometry and topology. Zbl 1085.51001
Reid, Miles; Szendrői, Balázs
2005
Rings and algebraic varieties. Zbl 1076.14501
Reid, Miles
2005
Kustin-Miller unprojection without complexes. Zbl 1071.14047
2004
Cascades of projections from log del Pezzo surfaces. Zbl 1069.14042
Reid, Miles; Suzuki, Kaori
2003
McKay’s correspondence. (La correspondance de McKay.) Zbl 0996.14006
Reid, Miles
2002
How to calculate $$A$$-Hilb $$\mathbb{C}^3$$. Zbl 1080.14502
Craw, Alastair; Reid, Miles
2002
Weighted Grassmannians. Zbl 1060.14071
Corti, Alessio; Reid, Miles
2002
Fano 3-folds, $$K3$$ surfaces and graded rings. Zbl 1047.14026
Altınok, Selma; Brown, Gavin; Reid, Miles
2002
The McKay correspondence as an equivalence of derived categories. Zbl 0966.14028
Bridgeland, Tom; King, Alastair; Reid, Miles
2001
Fano 3-fold hypersurfaces. Zbl 0960.14020
Corti, Alessio; Pukhlikov, Aleksandr; Reid, Miles
2000
Explicit birational geometry of 3-folds. Zbl 0942.00009
Corti, Alessio; Reid, Miles
2000
Twenty five years of 3-folds. An old person’s view. Zbl 0961.14026
Reid, Miles
2000
Foreword to: Explicit geometry of 3-folds. Zbl 0960.14016
Corti, Alessio; Reid, Miles
2000
Embeddings of curves and surfaces. Zbl 0933.14003
Catanese, Fabrizio; Franciosi, Marco; Hulek, Klaus; Reid, Miles
1999
Chapters on algebraic surfaces. Zbl 0910.14016
Reid, Miles
1997
The McKay correspondence for finite subgroups of $$SL(3,\mathbb{C})$$. Zbl 0894.14024
Ito, Yukari; Reid, Miles
1996
Reid, Miles
1995
Nonnormal del Pezzo surfaces. Zbl 0867.14015
Reid, Miles
1994
Campedelli versus Godeaux. Zbl 0878.14029
Reid, Miles
1991
Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra. Zbl 0714.14010
Reid, Miles
1990
Quadrics through a canonical surface. Zbl 0708.14027
Reid, Miles
1990
Reid, Miles
1988
Young person’s guide to canonical singularities. Zbl 0634.14003
Reid, Miles
1987
The moduli space of 3-folds with $$K=0$$ may nevertheless be irreducible. Zbl 0649.14021
Reid, Miles
1987
Tendencious survey of 3-folds. Zbl 0643.14022
Reid, Miles
1987
Surfaces of small degree. Zbl 0579.14017
Reid, Miles
1986
Minimal models of canonical 3-folds. Zbl 0558.14028
Reid, Miles
1983
Decomposition of toric morphisms. Zbl 0571.14020
Reid, Miles
1983
Canonical 3-folds. Zbl 0451.14014
Reid, Miles
1980
$$\pi_1$$ for surfaces with small $$K^2$$. Zbl 0423.14021
Reid, Miles
1979
Surfaces with $$p_g=0$$, $$K^2=1$$. Zbl 0399.14025
Reid, Miles
1978
Bogomolov’s theorem $$c_ 1^ 2 \leq 4c_ 2$$. Zbl 0478.14003
Reid, Miles
1977
Special linear systems on curves lying on a K3 surface. Zbl 0339.14021
Reid, Miles
1976
Hyperelliptic linear systems on a K3 surface. Zbl 0338.14009
Reid, Miles
1976
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#### Cited by 799 Authors

 14 Prokhorov, Yuriĭ Gennad’evich 11 Morrison, David R. 9 Franciosi, Marco 9 Kollár, János 8 Chen, Meng 8 Konno, Kazuhiro 8 Krug, Andreas 8 Okuma, Tomohiro 8 Papadakis, Stavros Argyrios 7 Brown, Gavin Dennis 7 Craw, Alastair 7 Mori, Shigefumi 7 Okada, Takuzo 7 Pardini, Rita 7 Qureshi, Muhammad Imran 7 Sato, Hiroshi 6 Ballico, Edoardo 6 Boissière, Samuel 6 Catanese, Fabrizio M. E. 6 Cheltsov, Ivan Anatol’evich 6 Fujino, Osamu 6 Kawamata, Yujiro 6 Matsuki, Kenji 6 Mendes Lopes, Margarida 6 Rossi, Michele 6 Schröer, Stefan 6 Xu, Chenyang 5 Bauer, Ingrid C. 5 Bridgeland, Tom 5 Bryan, Jim 5 Ebeling, Wolfgang 5 Höring, Andreas 5 Kapustka, Michał 5 Peternell, Thomas Martin 5 Pignatelli, Roberto 5 Reid, Miles 5 Rollenske, Sönke 5 Sharpe, Eric R. 5 Takagi, Hiromichi 5 Wemyss, Michael 5 Wilson, Pelham Mark Hedley 4 Ahmadinezhad, Hamid 4 Calabri, Alberto 4 Carlsson, Erik 4 Cautis, Sabin 4 Chan, Daniel 4 Chen, Jungkai Alfred 4 Ciliberto, Ciro 4 Gusein-Zade, Sabir M. 4 Ishii, Shihoko 4 Ito, Yukari 4 Kapustka, Grzegorz 4 Kasprzyk, Alexander M. 4 Katzarkov, Ludmil 4 Logvinenko, Timothy 4 Sosna, Pawel 4 Szendrői, Balázs 4 Toda, Yukinobu 4 Tziolas, Nikolaos 4 Van den Bergh, Michel 4 Watanabe, Kei-ichi 4 Zhang, De-Qi 4 Zucconi, Francesco 3 Abramovich, Dan 3 Aspinwall, Paul S. 3 Baranovsky, Vladimir 3 Batyrev, Victor V. 3 Beltrametti, Mauro C. 3 Böhm, Janko 3 Bonavero, Laurent 3 Corti, Alessio 3 Dais, Dimitrios I. 3 de Fernex, Tommaso 3 Donovan, Will 3 Donten-Bury, Maria 3 Druel, Stéphane 3 Fu, Lie 3 Furushima, Mikio 3 Gordon, Iain Grant 3 Grassi, Antonella 3 Hacking, Paul 3 Hacon, Christopher Derek 3 Hayakawa, Takayuki 3 Hershkowitz, Daniel 3 Higashitani, Akihiro 3 Ishii, Akira 3 Iyama, Osamu 3 Katz, Sheldon 3 Keel, Sean 3 Kishimoto, Takashi 3 Knutsen, Andreas Leopold 3 Kustin, Andrew R. 3 Liedtke, Christian 3 Lin, Hui-Wen 3 Liu, Wenfei 3 Macrì, Emanuele 3 Maehara, Hiroshi 3 Markushevich, Dimitri Genrikhovich 3 Nakayama, Noboru 3 Nolla de Celis, Alvaro ...and 699 more Authors
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#### Cited in 138 Serials

 55 Advances in Mathematics 37 Duke Mathematical Journal 36 Journal of Algebra 33 Transactions of the American Mathematical Society 28 Tohoku Mathematical Journal. Second Series 26 Journal of Algebraic Geometry 25 Mathematische Annalen 24 Compositio Mathematica 24 Mathematische Zeitschrift 22 Nuclear Physics. B 20 Communications in Mathematical Physics 19 Manuscripta Mathematica 17 Proceedings of the Japan Academy. Series A 16 Inventiones Mathematicae 15 Journal of Geometry and Physics 15 Journal of High Energy Physics 12 Journal of Pure and Applied Algebra 12 International Journal of Mathematics 11 Nagoya Mathematical Journal 10 Geometriae Dedicata 10 Journal für die Reine und Angewandte Mathematik 9 Communications in Algebra 9 Selecta Mathematica. New Series 9 Journal of the European Mathematical Society (JEMS) 8 Annales de l’Institut Fourier 8 Osaka Journal of Mathematics 8 Journal of the American Mathematical Society 8 Kyoto Journal of Mathematics 7 Mathematische Nachrichten 7 Proceedings of the American Mathematical Society 7 Science China. Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Michigan Mathematical Journal 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Izvestiya: Mathematics 6 European Journal of Mathematics 5 Bulletin de la Société Mathématique de France 5 Journal of the Mathematical Society of Japan 5 Rendiconti del Seminario Matematico della Università di Padova 5 Geometry & Topology 4 Journal of Mathematical Physics 4 Mathematics of Computation 4 Memoirs of the American Mathematical Society 4 Linear Algebra and its Applications 4 Bulletin of the American Mathematical Society. New Series 4 Advances in Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Commutative Algebra 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Kodai Mathematical Journal 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Journal of Symbolic Computation 3 Transformation Groups 3 Acta Mathematica Sinica. English Series 3 Central European Journal of Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in High Energy Physics 3 Forum of Mathematics, Sigma 2 International Journal of Modern Physics A 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Collectanea Mathematica 2 Glasgow Mathematical Journal 2 European Journal of Combinatorics 2 Computer Aided Geometric Design 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Expositiones Mathematicae 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 Documenta Mathematica 2 Representation Theory 2 Algebras and Representation Theory 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Algebra & Number Theory 2 Japanese Journal of Mathematics. 3rd Series 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Physics Letters. B 1 Physics Reports 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics ...and 38 more Serials
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#### Cited in 38 Fields

 691 Algebraic geometry (14-XX) 103 Several complex variables and analytic spaces (32-XX) 74 Quantum theory (81-XX) 67 Commutative algebra (13-XX) 60 Category theory; homological algebra (18-XX) 45 Differential geometry (53-XX) 43 Associative rings and algebras (16-XX) 27 Group theory and generalizations (20-XX) 26 Manifolds and cell complexes (57-XX) 22 Relativity and gravitational theory (83-XX) 20 Convex and discrete geometry (52-XX) 17 Combinatorics (05-XX) 16 Number theory (11-XX) 15 Algebraic topology (55-XX) 12 Nonassociative rings and algebras (17-XX) 9 $$K$$-theory (19-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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