Edit Profile (opens in new tab) Artin, Michael Co-Author Distance Author ID: artin.michael Published as: Artin, M.; Artin, Michael; Artin, M more...less Homepage: http://math.mit.edu/directory/profile.php?pid=9 External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Videos: carmin.tv Awards: Wolf Prize (2013) Documents Indexed: 80 Publications since 1962, including 9 Books 11 Contributions as Editor · 8 Further Contributions Biographic References: 3 Publications Co-Authors: 28 Co-Authors with 47 Joint Publications 718 Co-Co-Authors all top 5 Co-Authors 49 single-authored 11 Grothendieck, Alexander 9 Demazure, Michel 9 Tate, John Torrence jun. 8 Raynaud, Michèle 8 Serre, Jean-Pierre 7 Bertin, Jean-Étienne 7 Gabriel, Pierre 7 Mazur, Barry 6 Schelter, William F. 5 Deligne, Pierre 4 Mumford, David Bryant 4 Verdier, Jean-Louis 3 Saint-Donat, Bernard 3 Van den Bergh, Michel 3 Zhang, James J. 2 Jackson, Allyn 2 Stafford, J. Toby 2 Zariski, Oscar 1 Atiyah, Michael Francis 1 Bass, Hyman 1 Bourbaki, Nicolas 1 Boutot, Jean-Francois 1 Cartier, Pierre 1 Denef, Jan 1 Greenberg, Marvin Jay 1 Hartshorne, Robin 1 Illusie, Luc 1 Katz, Nicholas Michael 1 Kleiman, Steven Lawrence 1 Kraft, Hanspeter 1 Ladegaillerie, Yves 1 Lichtenbaum, Stephen 1 Lochak, Pierre 1 Messing, William 1 Milne, James Stuart 1 Murre, Jacob Pieter 1 Nagata, Masayoshi 1 Remmert, Reinhold W. 1 Rodriguez-Villegas, Fernando 1 Rotthaus, Christel 1 Schneps, Leila 1 Seshadri, Conjeeveram Srirangachari 1 Small, Lance W. 1 Swinnerton-Dyer, Peter 1 Tannenbaum, Allen Robert 1 Verschoren, Alain H. M. J. 1 Winters, Gayn B. all top 5 Serials 8 Inventiones Mathematicae 7 Lecture Notes in Mathematics 6 Journal of Algebra 5 Advances in Mathematics 5 American Journal of Mathematics 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Topology 2 Notices of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Mathematicians of Our Time 2 Progress in Mathematics 2 Documents Mathématiques 1 Communications on Pure and Applied Mathematics 1 Publications Mathématiques 1 Journal of Mathematics of Kyoto University 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Algebras and Representation Theory 1 Graduate Studies in Mathematics 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Séminaire de Mathématiques Supérieures all top 5 Fields 74 Algebraic geometry (14-XX) 22 Associative rings and algebras (16-XX) 17 General and overarching topics; collections (00-XX) 12 Commutative algebra (13-XX) 5 Field theory and polynomials (12-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Category theory; homological algebra (18-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 5,060 times in 3,696 Documents Cited by ▼ Year ▼ Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I–IV. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas. (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne, B. Saint-Donat. Tome 1: Théorie des topos. Exposés I à IV. 2e éd.) Zbl 0234.00007 452 1972 Algebraic approximation of structures over complete local rings. Zbl 0181.48802 Artin, M. 339 1969 On isolated rational singularities of surfaces. Zbl 0142.18602 Artin, M. 318 1966 Graded algebras of global dimension 3. Zbl 0633.16001 Artin, Michael; Schelter, William F. 282 1987 Noncommutative projective schemes. Zbl 0833.14002 Artin, M.; Zhang, J. J. 252 1994 On the solutions of analytic equations. Zbl 0172.05301 Artin, M. 241 1968 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024 Artin, M.; Tate, J.; Van den Bergh, M. 234 1990 Etale homotopy. Zbl 0182.26001 Artin, M.; Mazur, B. 214 1969 Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404 Artin, M. 192 1962 Modules over regular algebras of dimension 3. Zbl 0763.14001 Artin, M.; Tate, J.; Van den Bergh, M. 179 1991 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017 Artin, M.; Mumford, D. 161 1972 Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0209.24201 152 1970 Versal deformations and algebraic stacks. Zbl 0317.14001 Artin, M. 136 1974 On periodic points. Zbl 0127.13401 Artin, M.; Mazur, B. 136 1965 On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007 Artin, M. 124 1969 Grothendieck topologies. Zbl 0208.48701 Artin, M. 104 1962 Supersingular K3 surfaces. Zbl 0322.14014 Artin, M. 99 1974 Algebra. Zbl 0788.00001 Artin, Michael 98 1991 Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0207.51401 92 1970 Algebraization of formal moduli. I. Zbl 0205.50402 Artin, M. 90 1969 Twisted homogeneous coordinate rings. Zbl 0717.14001 Artin, M.; Van den Bergh, M. 89 1990 Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003 Artin, M. 88 1970 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015 Artin, Michael; Schelter, William; Tate, John 88 1991 Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0212.52810 74 1970 Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013 Artin, M. 74 1974 Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 3: Exp. IX–XIX. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de P. Deligne, B. Saint-Donat. Tome 3. Exposés IX à XIX.) Zbl 0245.00002 67 1973 Formal groups arising from algebraic varieties. Zbl 0351.14023 Artin, M.; Mazur, B. 62 1977 On the joints of Hensel rings. Zbl 0242.13021 Artin, M. 61 1971 Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum. Zbl 0395.14003 Artin, Michael 56 1976 Noncommutative graded domains with quadratic growth. Zbl 0849.16022 Artin, M.; Stafford, J. T. 55 1995 Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006 Artin, M. 54 1982 Coverings of the rational double points in characteristic p. Zbl 0358.14008 Artin, M. 53 1977 Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019 Artin, M.; Nagata, M. 52 1972 Generic flatness for strongly Noetherian algebras. Zbl 0958.16024 Artin, M.; Small, L. W.; Zhang, J. J. 52 1999 Schémas en groupes. Fasc. I. Exposés I à IV. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963, dirigé par Michel Demazure et Alexander Grothendieck. 2ème éd. Zbl 0212.52801 48 1963 Abstract Hilbert schemes. I. Zbl 1030.14003 Artin, M.; Zhang, J. J. 45 2001 Reflexive modules over rational double points. Zbl 0553.14001 Artin, M.; Verdier, J.-L. 42 1985 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003 Artin, M.; Swinnerton-Dyer, H. P. F. 41 1973 Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 2: Exp. V–VIII. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de N. Bourbaki , P. Deligne, B. Saint-Donat. Tome 2. Exposes V à VIII.) Zbl 0237.00012 40 1972 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. I: General properties of group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome I: Propriétés générales des schémas en groupes.) Zbl 1241.14002 37 2011 Geometry of quantum planes. Zbl 0749.14002 Artin, Michael 33 1992 On the van Kampen theorem. Zbl 0138.18301 Artin, M.; Mazur, B. 31 1966 Degenerate fibres and stable reduction of curves. Zbl 0196.24403 Artin, M.; Winters, G. 29 1971 Some problems on three-dimensional graded domains. Zbl 0888.16025 Artin, M. 24 1997 Integral ring homomorphisms. Zbl 0461.16014 Artin, M.; Schelter, W. 21 1981 Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015 Artin, M. 19 1975 Maximal orders of global dimension and Krull dimension two. Zbl 0591.16002 Artin, M. 17 1986 Duality in the flat cohomology of curves. Zbl 0342.14007 Artin, M.; Milne, J. S. 17 1976 Algebraic spaces. Zbl 0226.14001 Artin, Michael 17 1971 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. III: Structure of reductive group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome III: Structure des schémas en groupes réductifs.) Zbl 1241.14003 17 2011 On the Jacobians of plane cubics. Zbl 1092.14054 Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 17 2005 Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011 Artin, M. 16 1986 Néron models. Zbl 0603.14028 Artin, M. 14 1986 The implicit function theorem in algebraic geometry. Zbl 0217.04901 Artin, M. 14 1969 Two-dimensional orders of finite representation type. Zbl 0625.16005 Artin, Michael 13 1987 Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001 Artin, Michael 11 1973 Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002 Artin, M. 10 1973 Left ideals in maximal orders. Zbl 0506.14003 Artin, M. 10 1982 Algebraic structure of power series rings. Zbl 0528.13021 Artin, M. 9 1982 Specialization of representations of rings. Zbl 0402.16018 Artin, M. 9 1977 Etale coverings of schemes over Hensel rings. Zbl 0148.41602 Artin, M. 9 1966 Algebraic spaces. Zbl 0216.05501 Artin, M. 8 1971 A structure theorem for power series rings. Zbl 0709.13009 Artin, Michael; Rotthaus, Christel 8 1988 Semiprime graded algebras of dimension two. Zbl 0967.16021 Artin, M.; Stafford, J. T. 8 2000 Local structure of maximal orders on surfaces. Zbl 0508.14027 Artin, M. 7 1982 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019 Artin, Michael; Schelter, William; Tate, John 7 1994 Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008 Artin, M. 7 1973 A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011 Artin, M.; Schelter, W. 6 1979 Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002 Artin, M. 6 1973 Smoothing of a ring homomorphism along a section. Zbl 0555.14002 Artin, M.; Denef, J. 5 1983 Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001 Zariski, Oscar 5 1978 Construction techniques for algebraic spaces. Zbl 0232.14003 Artin, M. 5 1971 On algebraic extensions of local rings. Zbl 0147.29304 Artin, M. 5 1966 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004 5 1983 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001 Zariski, Oscar 4 1973 Algebraization of formal moduli. Zbl 0213.47203 Artin, M. 4 1970 Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011 Artin, M. 4 1973 Homotopy of varieties in the etale topology. Zbl 0188.53402 Artin, M.; Mazur, B. 4 1967 Correction to: Maximal orders of global dimension and Krull dimension two. Zbl 0622.16003 Artin, M. 4 1987 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. II: Geometry. Zbl 0518.00005 4 1983 Algebra. Aus dem Engl. übersetzt von Annette A’Campo. (Algebra). Unveränd. Nachdr. Unveränd. Nachdr. (Algebra. Aus dem Engl. übersetzt von Annette A’Campo.) Zbl 0922.00001 Artin, Michael 4 1998 The etale topology of schemes. Zbl 0199.24603 Artin, M. 3 1968 Schémas en groupes. Fasc. 2a. Exposés V et VI. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963/64, dirigé par Michel Demazure et Alexander Grothendieck. 2ème éd. Zbl 0212.52802 3 1964 Dimension cohomologique: premiers résultats. Zbl 0269.14007 Artin, M. 3 1973 Morphismes acycliques. Zbl 0269.14010 Artin, M. 3 1973 Dualité. Zbl 0349.14011 Deligne, Pierre 2 1977 Lifting of two-dimensional singularities to characteristic zero. Zbl 0146.17101 Artin, M. 2 1966 Algebra. (Algebra. Aus dem Engl. übers. von Annette A’Campo.) Zbl 0788.00002 Artin, Michael 1 1993 Duration and change: fifty years at Oberwolfach. Zbl 0812.01053 1 1994 On two-sided modules which are left projective. Zbl 0468.16019 Artin, M.; Schelter, W. 1 1981 Schémas en groupes. Fasc. 4. Exposés XII à XIV. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963/64, dirigé par Michel Demazure et Alexander Grothendieck. 3ème éd. Zbl 0212.52805 1 1964 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022 Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023 Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 1 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022 Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023 Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 1 2016 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. I: General properties of group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome I: Propriétés générales des schémas en groupes.) Zbl 1241.14002 37 2011 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. III: Structure of reductive group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome III: Structure des schémas en groupes réductifs.) Zbl 1241.14003 17 2011 On the Jacobians of plane cubics. Zbl 1092.14054 Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 17 2005 Abstract Hilbert schemes. I. Zbl 1030.14003 Artin, M.; Zhang, J. J. 45 2001 Semiprime graded algebras of dimension two. Zbl 0967.16021 Artin, M.; Stafford, J. T. 8 2000 Generic flatness for strongly Noetherian algebras. Zbl 0958.16024 Artin, M.; Small, L. W.; Zhang, J. J. 52 1999 Algebra. Aus dem Engl. übersetzt von Annette A’Campo. (Algebra). Unveränd. Nachdr. Unveränd. Nachdr. (Algebra. Aus dem Engl. übersetzt von Annette A’Campo.) Zbl 0922.00001 Artin, Michael 4 1998 Some problems on three-dimensional graded domains. Zbl 0888.16025 Artin, M. 24 1997 Noncommutative graded domains with quadratic growth. Zbl 0849.16022 Artin, M.; Stafford, J. T. 55 1995 Noncommutative projective schemes. Zbl 0833.14002 Artin, M.; Zhang, J. J. 252 1994 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019 Artin, Michael; Schelter, William; Tate, John 7 1994 Duration and change: fifty years at Oberwolfach. Zbl 0812.01053 1 1994 Algebra. (Algebra. Aus dem Engl. übers. von Annette A’Campo.) Zbl 0788.00002 Artin, Michael 1 1993 Geometry of quantum planes. Zbl 0749.14002 Artin, Michael 33 1992 Modules over regular algebras of dimension 3. Zbl 0763.14001 Artin, M.; Tate, J.; Van den Bergh, M. 179 1991 Algebra. Zbl 0788.00001 Artin, Michael 98 1991 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015 Artin, Michael; Schelter, William; Tate, John 88 1991 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024 Artin, M.; Tate, J.; Van den Bergh, M. 234 1990 Twisted homogeneous coordinate rings. Zbl 0717.14001 Artin, M.; Van den Bergh, M. 89 1990 A structure theorem for power series rings. Zbl 0709.13009 Artin, Michael; Rotthaus, Christel 8 1988 Graded algebras of global dimension 3. Zbl 0633.16001 Artin, Michael; Schelter, William F. 282 1987 Two-dimensional orders of finite representation type. Zbl 0625.16005 Artin, Michael 13 1987 Correction to: Maximal orders of global dimension and Krull dimension two. Zbl 0622.16003 Artin, M. 4 1987 Maximal orders of global dimension and Krull dimension two. Zbl 0591.16002 Artin, M. 17 1986 Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011 Artin, M. 16 1986 Néron models. Zbl 0603.14028 Artin, M. 14 1986 Reflexive modules over rational double points. Zbl 0553.14001 Artin, M.; Verdier, J.-L. 42 1985 Smoothing of a ring homomorphism along a section. Zbl 0555.14002 Artin, M.; Denef, J. 5 1983 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004 5 1983 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. II: Geometry. Zbl 0518.00005 4 1983 Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006 Artin, M. 54 1982 Left ideals in maximal orders. Zbl 0506.14003 Artin, M. 10 1982 Algebraic structure of power series rings. Zbl 0528.13021 Artin, M. 9 1982 Local structure of maximal orders on surfaces. Zbl 0508.14027 Artin, M. 7 1982 Integral ring homomorphisms. Zbl 0461.16014 Artin, M.; Schelter, W. 21 1981 On two-sided modules which are left projective. Zbl 0468.16019 Artin, M.; Schelter, W. 1 1981 A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011 Artin, M.; Schelter, W. 6 1979 Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001 Zariski, Oscar 5 1978 Formal groups arising from algebraic varieties. Zbl 0351.14023 Artin, M.; Mazur, B. 62 1977 Coverings of the rational double points in characteristic p. Zbl 0358.14008 Artin, M. 53 1977 Specialization of representations of rings. Zbl 0402.16018 Artin, M. 9 1977 Dualité. Zbl 0349.14011 Deligne, Pierre 2 1977 Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum. Zbl 0395.14003 Artin, Michael 56 1976 Duality in the flat cohomology of curves. Zbl 0342.14007 Artin, M.; Milne, J. S. 17 1976 Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015 Artin, M. 19 1975 Versal deformations and algebraic stacks. Zbl 0317.14001 Artin, M. 136 1974 Supersingular K3 surfaces. Zbl 0322.14014 Artin, M. 99 1974 Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013 Artin, M. 74 1974 Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 3: Exp. IX–XIX. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de P. Deligne, B. Saint-Donat. Tome 3. Exposés IX à XIX.) Zbl 0245.00002 67 1973 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003 Artin, M.; Swinnerton-Dyer, H. P. F. 41 1973 Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001 Artin, Michael 11 1973 Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002 Artin, M. 10 1973 Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008 Artin, M. 7 1973 Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002 Artin, M. 6 1973 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001 Zariski, Oscar 4 1973 Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011 Artin, M. 4 1973 Dimension cohomologique: premiers résultats. Zbl 0269.14007 Artin, M. 3 1973 Morphismes acycliques. Zbl 0269.14010 Artin, M. 3 1973 Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I–IV. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas. (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne, B. Saint-Donat. Tome 1: Théorie des topos. Exposés I à IV. 2e éd.) Zbl 0234.00007 452 1972 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017 Artin, M.; Mumford, D. 161 1972 Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019 Artin, M.; Nagata, M. 52 1972 Seminar of algebraic geometry du Bois-Marie 1963–1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 2: Exp. V–VIII. (Séminaire de géométrie algébrique du Bois-Marie 1963–1964. Théorie des topos et cohomologie étale des schémas (SGA 4). Un séminaire dirigé par M. Artin, A. Grothendieck, J. L. Verdier. Avec la collaboration de N. Bourbaki , P. Deligne, B. Saint-Donat. Tome 2. Exposes V à VIII.) Zbl 0237.00012 40 1972 On the joints of Hensel rings. Zbl 0242.13021 Artin, M. 61 1971 Degenerate fibres and stable reduction of curves. Zbl 0196.24403 Artin, M.; Winters, G. 29 1971 Algebraic spaces. Zbl 0226.14001 Artin, Michael 17 1971 Algebraic spaces. Zbl 0216.05501 Artin, M. 8 1971 Construction techniques for algebraic spaces. Zbl 0232.14003 Artin, M. 5 1971 Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0209.24201 152 1970 Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0207.51401 92 1970 Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003 Artin, M. 88 1970 Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0212.52810 74 1970 Algebraization of formal moduli. Zbl 0213.47203 Artin, M. 4 1970 Algebraic approximation of structures over complete local rings. Zbl 0181.48802 Artin, M. 339 1969 Etale homotopy. Zbl 0182.26001 Artin, M.; Mazur, B. 214 1969 On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007 Artin, M. 124 1969 Algebraization of formal moduli. I. Zbl 0205.50402 Artin, M. 90 1969 The implicit function theorem in algebraic geometry. Zbl 0217.04901 Artin, M. 14 1969 On the solutions of analytic equations. Zbl 0172.05301 Artin, M. 241 1968 The etale topology of schemes. Zbl 0199.24603 Artin, M. 3 1968 Homotopy of varieties in the etale topology. Zbl 0188.53402 Artin, M.; Mazur, B. 4 1967 On isolated rational singularities of surfaces. Zbl 0142.18602 Artin, M. 318 1966 On the van Kampen theorem. Zbl 0138.18301 Artin, M.; Mazur, B. 31 1966 Etale coverings of schemes over Hensel rings. Zbl 0148.41602 Artin, M. 9 1966 On algebraic extensions of local rings. Zbl 0147.29304 Artin, M. 5 1966 Lifting of two-dimensional singularities to characteristic zero. Zbl 0146.17101 Artin, M. 2 1966 On periodic points. Zbl 0127.13401 Artin, M.; Mazur, B. 136 1965 Schémas en groupes. Fasc. 2a. Exposés V et VI. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963/64, dirigé par Michel Demazure et Alexander Grothendieck. 2ème éd. Zbl 0212.52802 3 1964 Schémas en groupes. Fasc. 4. Exposés XII à XIV. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963/64, dirigé par Michel Demazure et Alexander Grothendieck. 3ème éd. Zbl 0212.52805 1 1964 Schémas en groupes. Fasc. I. Exposés I à IV. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963, dirigé par Michel Demazure et Alexander Grothendieck. 2ème éd. Zbl 0212.52801 48 1963 Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404 Artin, M. 192 1962 Grothendieck topologies. Zbl 0208.48701 Artin, M. 104 1962 all cited Publications top 5 cited Publications all top 5 Cited by 3,076 Authors 46 Zhang, James J. 34 Van den Bergh, Michel 32 Smith, S. Paul 27 Mori, Izuru 25 Schröer, Stefan 22 Rogalski, Daniel 21 Artin, Michael 20 Le Bruyn, Lieven 20 Vancliff, Michaela 19 Chan, Daniel 18 Némethi, András 18 Olsson, Martin C. 18 Ueyama, Kenta 18 van Oystaeyen, Freddy 16 Popescu, Dorin 16 Stafford, J. Toby 15 Bell, Jason P. 15 Rond, Guillaume 15 Wu, Quanshui S. 14 Huneke, Craig L. 14 Schütt, Matthias 13 Kirkman, Ellen E. 13 Nyman, Adam 13 Sierra, Susan J. 13 Ulrich, Bernd 13 Walton, Chelsea 12 Gateva-Ivanova, Tatiana 12 Iyama, Osamu 12 Katsura, Toshiyuki 12 Liedtke, Christian 12 Procesi, Claudio 12 Yau, Stephen Shing-Toung 11 Catanese, Fabrizio M. E. 11 Chirvăsitu, Alexandru 11 He, Jiwei 11 Ingalls, Colin 11 Okuma, Tomohiro 11 Porter, Timothy 11 Reichstein, Zinovy B. 11 Verschoren, Alain H. M. J. 10 Braun, Amiram 10 Esnault, Hélène 10 Ford, Timothy J. 10 Hauser, Herwig 10 Lu, Jiafeng 10 Moerdijk, Ieke 10 Watanabe, Kei-ichi 10 Yoshida, Ken-ichi 9 Berger, Roland 9 Bilski, Marcin 9 Cassidy, Thomas 9 Colliot-Thélène, Jean-Louis 9 Dolgachev, Igor’ Vladimirovich 9 Kollár, János 9 Letzter, Edward S. 9 Lieblich, Max David 9 Lorenzini, Dino J. 9 Rydh, David 9 Shimada, Ichiro 9 Smoktunowicz, Agata 9 Tschinkel, Yuri 8 Abramovich, Dan 8 Antieau, Benjamin 8 Caenepeel, Stefaan 8 Cheltsov, Ivan Anatol’evich 8 Gaddis, Jason 8 Horikawa, Eiji 8 Jørgensen, Peter Bjørn 8 Lan, Kai-Wen 8 Lu, Di-Ming 8 Parimala, Raman 8 Pridham, Jonathan Paul 8 Rosický, Jiří 8 Saito, Shuji 8 Saito, Takeshi 8 Schelter, William F. 8 Shelton, Brad 8 Shiota, Masahiro 8 Tziolas, Nikolaos 8 Vistoli, Angelo 8 Wahl, Jonathan M. 8 Wang, Xingting 8 Zheng, Weizhe 7 Alper, Jarod 7 Auel, Asher Natan 7 Becker, Joseph A. 7 Bocklandt, Raf 7 Cegarra, Antonio Martínez 7 Gabber, Ofer 7 Goodearl, Kenneth R. 7 Greuel, Gert-Martin 7 Hall, Jack 7 Harbater, David 7 Harbourne, Brian 7 Hochster, Melvin 7 Krashen, Daniel 7 Kustin, Andrew R. 7 Lang, William E. 7 Lowen, Wendy 7 Makkai, Michael ...and 2,976 more Authors all top 5 Cited in 350 Serials 382 Journal of Algebra 200 Journal of Pure and Applied Algebra 183 Advances in Mathematics 149 Transactions of the American Mathematical Society 144 Inventiones Mathematicae 131 Compositio Mathematica 130 Mathematische Annalen 125 Communications in Algebra 94 Mathematische Zeitschrift 76 Duke Mathematical Journal 69 Manuscripta Mathematica 68 Proceedings of the American Mathematical Society 51 Annales de l’Institut Fourier 49 Israel Journal of Mathematics 42 Journal für die Reine und Angewandte Mathematik 40 Journal of Algebraic Geometry 37 Annales Scientifiques de l’École Normale Supérieure. 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Second Series 19 Journal of the European Mathematical Society (JEMS) 18 Memoirs of the American Mathematical Society 18 Documenta Mathematica 18 Journal of Algebra and its Applications 17 Communications in Mathematical Physics 17 Michigan Mathematical Journal 17 International Journal of Mathematics 15 Journal de Théorie des Nombres de Bordeaux 15 Journal of Mathematical Sciences (New York) 14 Journal of Soviet Mathematics 14 Mathematische Nachrichten 14 Ergodic Theory and Dynamical Systems 14 Bulletin of the American Mathematical Society. New Series 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Bulletin de la Société Mathématique de France 13 Linear Algebra and its Applications 13 Indagationes Mathematicae. New Series 12 \(K\)-Theory 12 Applied Categorical Structures 11 Mathematical Notes 11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 11 Journal of Symbolic Computation 11 Kyoto Journal of Mathematics 10 Nuclear Physics. B 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Bulletin of the London Mathematical Society 10 Proceedings of the London Mathematical Society. Third Series 10 Journal of High Energy Physics 10 Journal of Homotopy and Related Structures 10 Journal of Singularities 9 Letters in Mathematical Physics 9 Glasgow Mathematical Journal 9 Journal of the Mathematical Society of Japan 9 Theory and Applications of Categories 9 Transformation Groups 9 Science China. Mathematics 8 Archiv der Mathematik 8 Canadian Mathematical Bulletin 8 Functional Analysis and its Applications 8 Pacific Journal of Mathematics 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Central European Journal of Mathematics 8 Journal de l’École Polytechnique – Mathématiques 7 Osaka Journal of Mathematics 7 Rendiconti del Seminario Matematico della Università di Padova 7 Physica D 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Expositiones Mathematicae 7 Bulletin des Sciences Mathématiques 7 Izvestiya: Mathematics 7 Oberwolfach Reports 6 Journal of Mathematical Analysis and Applications 6 Rocky Mountain Journal of Mathematics 6 Geometriae Dedicata 6 Monatshefte für Mathematik 6 Annals of Pure and Applied Logic 6 Acta Mathematica Sinica. English Series 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Journal of Commutative Algebra 6 Research in the Mathematical Sciences ...and 250 more Serials all top 5 Cited in 56 Fields 2,220 Algebraic geometry (14-XX) 862 Associative rings and algebras (16-XX) 479 Commutative algebra (13-XX) 468 Category theory; homological algebra (18-XX) 441 Several complex variables and analytic spaces (32-XX) 355 Number theory (11-XX) 213 Algebraic topology (55-XX) 192 Nonassociative rings and algebras (17-XX) 174 Group theory and generalizations (20-XX) 138 Dynamical systems and ergodic theory (37-XX) 117 Differential geometry (53-XX) 111 \(K\)-theory (19-XX) 108 Manifolds and cell complexes (57-XX) 107 Global analysis, analysis on manifolds (58-XX) 79 Field theory and polynomials (12-XX) 75 Quantum theory (81-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 59 Mathematical logic and foundations (03-XX) 46 Functional analysis (46-XX) 41 Topological groups, Lie groups (22-XX) 38 General topology (54-XX) 36 Combinatorics (05-XX) 26 History and biography (01-XX) 26 Computer science (68-XX) 23 Functions of a complex variable (30-XX) 20 Operator theory (47-XX) 18 General and overarching topics; collections (00-XX) 18 Real functions (26-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Partial differential equations (35-XX) 16 Geometry (51-XX) 14 Ordinary differential equations (34-XX) 11 Relativity and gravitational theory (83-XX) 10 Special functions (33-XX) 10 Difference and functional equations (39-XX) 10 Numerical analysis (65-XX) 9 General algebraic systems (08-XX) 9 Statistics (62-XX) 9 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 5 Convex and discrete geometry (52-XX) 4 Abstract harmonic analysis (43-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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