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 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 689 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 René 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 P. 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 92 Publications have been cited 4,610 times in 3,365 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 441 1972 Algebraic approximation of structures over complete local rings. Zbl 0181.48802Artin, M. 326 1969 On isolated rational singularities of surfaces. Zbl 0142.18602Artin, M. 291 1966 Graded algebras of global dimension 3. Zbl 0633.16001Artin, Michael; Schelter, William F. 265 1987 Noncommutative projective schemes. Zbl 0833.14002Artin, M.; Zhang, J. J. 238 1994 On the solutions of analytic equations. Zbl 0172.05301Artin, M. 233 1968 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024Artin, M.; Tate, J.; Van den Bergh, M. 218 1990 Etale homotopy. Zbl 0182.26001Artin, M.; Mazur, B. 194 1969 Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404Artin, M. 186 1962 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 165 1991 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017Artin, M.; Mumford, D. 150 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 145 1970 Versal deformations and algebraic stacks. Zbl 0317.14001Artin, M. 123 1974 On periodic points. Zbl 0127.13401Artin, M.; Mazur, B. 122 1965 On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007Artin, M. 119 1969 Supersingular K3 surfaces. Zbl 0322.14014Artin, M. 95 1974 Twisted homogeneous coordinate rings. Zbl 0717.14001Artin, M.; Van den Bergh, M. 88 1990 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015Artin, Michael; Schelter, William; Tate, John 87 1991 Grothendieck topologies. Zbl 0208.48701Artin, M. 84 1962 Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003Artin, M. 78 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 71 1970 Algebraization of formal moduli. I. Zbl 0205.50402Artin, M. 69 1969 Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013Artin, M. 68 1974 Algebra. Zbl 0788.00001Artin, Michael 67 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 65 1970 On the joints of Hensel rings. Zbl 0242.13021Artin, M. 57 1971 Formal groups arising from algebraic varieties. Zbl 0351.14023Artin, M.; Mazur, B. 54 1977 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 54 1973 Noncommutative graded domains with quadratic growth. Zbl 0849.16022Artin, M.; Stafford, J. T. 52 1995 Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019Artin, M.; Nagata, M. 51 1972 Generic flatness for strongly Noetherian algebras. Zbl 0958.16024Artin, M.; Small, L. W.; Zhang, J. J. 45 1999 Abstract Hilbert schemes. I. Zbl 1030.14003Artin, M.; Zhang, J. J. 40 2001 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 39 1973 Reflexive modules over rational double points. Zbl 0553.14001Artin, M.; Verdier, J.-L. 38 1985 Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum. Zbl 0395.14003Artin, Michael 34 1976 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 34 1972 Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006Artin, M. 31 1982 Coverings of the rational double points in characteristic p. Zbl 0358.14008Artin, M. 30 1977 Geometry of quantum planes. Zbl 0749.14002Artin, Michael 30 1992 On the van Kampen theorem. Zbl 0138.18301Artin, M.; Mazur, B. 29 1966 Degenerate fibres and stable reduction of curves. Zbl 0196.24403Artin, M.; Winters, G. 28 1971 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 26 2011 Some problems on three-dimensional graded domains. Zbl 0888.16025Artin, M. 22 1997 Integral ring homomorphisms. Zbl 0461.16014Artin, M.; Schelter, W. 20 1981 Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015Artin, M. 17 1975 On the Jacobians of plane cubics. Zbl 1092.14054Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 17 2005 Duality in the flat cohomology of curves. Zbl 0342.14007Artin, M.; Milne, J. S. 16 1976 Maximal orders of global dimension and Krull dimension two. Zbl 0591.16002Artin, M. 16 1986 The implicit function theorem in algebraic geometry. Zbl 0217.04901Artin, M. 14 1969 Algebraic spaces. Zbl 0226.14001Artin, Michael 14 1971 Two-dimensional orders of finite representation type. Zbl 0625.16005Artin, Michael 12 1987 Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011Artin, M. 11 1986 Néron models. Zbl 0603.14028Artin, M. 9 1986 Algebraic structure of power series rings. Zbl 0528.13021Artin, M. 9 1982 Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001Artin, Michael 9 1973 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 9 2011 Etale coverings of schemes over Hensel rings. Zbl 0148.41602Artin, M. 9 1966 Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002Artin, M. 9 1973 Specialization of representations of rings. Zbl 0402.16018Artin, M. 8 1977 Left ideals in maximal orders. Zbl 0506.14003Artin, M. 8 1982 Semiprime graded algebras of dimension two. Zbl 0967.16021Artin, M.; Stafford, J. T. 8 2000 A structure theorem for power series rings. Zbl 0709.13009Artin, Michael; Rotthaus, Christel 6 1988 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019Artin, Michael; Schelter, William; Tate, John 6 1994 Algebraic spaces. Zbl 0216.05501Artin, M. 6 1971 A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011Artin, M.; Schelter, W. 6 1979 Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002Artin, M. 6 1973 Smoothing of a ring homomorphism along a section. Zbl 0555.14002Artin, M.; Denef, J. 5 1983 On algebraic extensions of local rings. Zbl 0147.29304Artin, M. 5 1966 Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008Artin, M. 5 1973 Correction to: Maximal orders of global dimension and Krull dimension two. Zbl 0622.16003Artin, M. 4 1987 Local structure of maximal orders on surfaces. Zbl 0508.14027Artin, M. 4 1982 Algebraization of formal moduli. Zbl 0213.47203Artin, M. 4 1970 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 0446.14001Zariski, Oscar 3 1978 Homotopy of varieties in the etale topology. Zbl 0188.53402Artin, M.; Mazur, B. 3 1967 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 Construction techniques for algebraic spaces. Zbl 0232.14003Artin, M. 3 1971 Dimension cohomologique: premiers résultats. Zbl 0269.14007Artin, M. 3 1973 Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011Artin, M. 3 1973 Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004 2 1983 Dualité. Zbl 0349.14011Deligne, Pierre 2 1977 Lifting of two-dimensional singularities to characteristic zero. Zbl 0146.17101Artin, M. 2 1966 The etale topology of schemes. Zbl 0199.24603Artin, M. 2 1968 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 2 1963 Morphismes acycliques. Zbl 0269.14010Artin, M. 2 1973 Algebra. (Algebra. Aus dem Engl. übers. von Annette A’Campo.) Zbl 0788.00002Artin, Michael 1 1993 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Atiyah, 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 1338.01023Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 1 2016 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001Zariski, Oscar 1 1973 On two-sided modules which are left projective. Zbl 0468.16019Artin, M.; Schelter, W. 1 1981 Duration and change: fifty years at Oberwolfach. Zbl 0812.01053 1 1994 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 Algebra. Aus dem Engl. übersetzt von Annette A’Campo. (Algebra). Unveränd. Nachdr. Unveränd. Nachdr. (Algebra. Aus dem Engl. übersetzt von Annette A’Campo.) Zbl 0922.00001Artin, Michael 1 1998 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Atiyah, 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 1338.01023Ladegaillerie, 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 26 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 9 2011 On the Jacobians of plane cubics. Zbl 1092.14054Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John 17 2005 Abstract Hilbert schemes. I. Zbl 1030.14003Artin, M.; Zhang, J. J. 40 2001 Semiprime graded algebras of dimension two. Zbl 0967.16021Artin, M.; Stafford, J. T. 8 2000 Generic flatness for strongly Noetherian algebras. Zbl 0958.16024Artin, M.; Small, L. W.; Zhang, J. J. 45 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 0922.00001Artin, Michael 1 1998 Some problems on three-dimensional graded domains. Zbl 0888.16025Artin, M. 22 1997 Noncommutative graded domains with quadratic growth. Zbl 0849.16022Artin, M.; Stafford, J. T. 52 1995 Noncommutative projective schemes. Zbl 0833.14002Artin, M.; Zhang, J. J. 238 1994 The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019Artin, Michael; Schelter, William; Tate, John 6 1994 Duration and change: fifty years at Oberwolfach. Zbl 0812.01053 1 1994 Algebra. (Algebra. Aus dem Engl. übers. von Annette A’Campo.) Zbl 0788.00002Artin, Michael 1 1993 Geometry of quantum planes. Zbl 0749.14002Artin, Michael 30 1992 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 165 1991 Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015Artin, Michael; Schelter, William; Tate, John 87 1991 Algebra. Zbl 0788.00001Artin, Michael 67 1991 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024Artin, M.; Tate, J.; Van den Bergh, M. 218 1990 Twisted homogeneous coordinate rings. Zbl 0717.14001Artin, M.; Van den Bergh, M. 88 1990 A structure theorem for power series rings. Zbl 0709.13009Artin, Michael; Rotthaus, Christel 6 1988 Graded algebras of global dimension 3. Zbl 0633.16001Artin, Michael; Schelter, William F. 265 1987 Two-dimensional orders of finite representation type. Zbl 0625.16005Artin, Michael 12 1987 Correction to: Maximal orders of global dimension and Krull dimension two. Zbl 0622.16003Artin, M. 4 1987 Maximal orders of global dimension and Krull dimension two. Zbl 0591.16002Artin, M. 16 1986 Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011Artin, M. 11 1986 Néron models. Zbl 0603.14028Artin, M. 9 1986 Reflexive modules over rational double points. Zbl 0553.14001Artin, M.; Verdier, J.-L. 38 1985 Smoothing of a ring homomorphism along a section. Zbl 0555.14002Artin, 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 2 1983 Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006Artin, M. 31 1982 Algebraic structure of power series rings. Zbl 0528.13021Artin, M. 9 1982 Left ideals in maximal orders. Zbl 0506.14003Artin, M. 8 1982 Local structure of maximal orders on surfaces. Zbl 0508.14027Artin, M. 4 1982 Integral ring homomorphisms. Zbl 0461.16014Artin, M.; Schelter, W. 20 1981 On two-sided modules which are left projective. Zbl 0468.16019Artin, M.; Schelter, W. 1 1981 A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011Artin, 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 0446.14001Zariski, Oscar 3 1978 Formal groups arising from algebraic varieties. Zbl 0351.14023Artin, M.; Mazur, B. 54 1977 Coverings of the rational double points in characteristic p. Zbl 0358.14008Artin, M. 30 1977 Specialization of representations of rings. Zbl 0402.16018Artin, M. 8 1977 Dualité. Zbl 0349.14011Deligne, Pierre 2 1977 Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum. Zbl 0395.14003Artin, Michael 34 1976 Duality in the flat cohomology of curves. Zbl 0342.14007Artin, M.; Milne, J. S. 16 1976 Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015Artin, M. 17 1975 Versal deformations and algebraic stacks. Zbl 0317.14001Artin, M. 123 1974 Supersingular K3 surfaces. Zbl 0322.14014Artin, M. 95 1974 Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013Artin, M. 68 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 54 1973 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 39 1973 Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001Artin, Michael 9 1973 Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002Artin, M. 9 1973 Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002Artin, M. 6 1973 Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008Artin, M. 5 1973 Dimension cohomologique: premiers résultats. Zbl 0269.14007Artin, M. 3 1973 Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011Artin, M. 3 1973 Morphismes acycliques. Zbl 0269.14010Artin, M. 2 1973 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001Zariski, Oscar 1 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 441 1972 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017Artin, M.; Mumford, D. 150 1972 Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019Artin, M.; Nagata, M. 51 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 34 1972 On the joints of Hensel rings. Zbl 0242.13021Artin, M. 57 1971 Degenerate fibres and stable reduction of curves. Zbl 0196.24403Artin, M.; Winters, G. 28 1971 Algebraic spaces. Zbl 0226.14001Artin, Michael 14 1971 Algebraic spaces. Zbl 0216.05501Artin, M. 6 1971 Construction techniques for algebraic spaces. Zbl 0232.14003Artin, M. 3 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 145 1970 Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003Artin, M. 78 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 71 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 65 1970 Algebraization of formal moduli. Zbl 0213.47203Artin, M. 4 1970 Algebraic approximation of structures over complete local rings. Zbl 0181.48802Artin, M. 326 1969 Etale homotopy. Zbl 0182.26001Artin, M.; Mazur, B. 194 1969 On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007Artin, M. 119 1969 Algebraization of formal moduli. I. Zbl 0205.50402Artin, M. 69 1969 The implicit function theorem in algebraic geometry. Zbl 0217.04901Artin, M. 14 1969 On the solutions of analytic equations. Zbl 0172.05301Artin, M. 233 1968 The etale topology of schemes. Zbl 0199.24603Artin, M. 2 1968 Homotopy of varieties in the etale topology. Zbl 0188.53402Artin, M.; Mazur, B. 3 1967 On isolated rational singularities of surfaces. Zbl 0142.18602Artin, M. 291 1966 On the van Kampen theorem. Zbl 0138.18301Artin, M.; Mazur, B. 29 1966 Etale coverings of schemes over Hensel rings. Zbl 0148.41602Artin, M. 9 1966 On algebraic extensions of local rings. Zbl 0147.29304Artin, M. 5 1966 Lifting of two-dimensional singularities to characteristic zero. Zbl 0146.17101Artin, M. 2 1966 On periodic points. Zbl 0127.13401Artin, M.; Mazur, B. 122 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 2 1963 Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404Artin, M. 186 1962 Grothendieck topologies. Zbl 0208.48701Artin, M. 84 1962 all cited Publications top 5 cited Publications all top 5 Cited by 2,769 Authors 46 Zhang, James J. 33 Van den Bergh, Michel 32 Smith, S. Paul 26 Mori, Izuru 22 Rogalski, Daniel 22 Schröer, Stefan 21 Artin, Michael 20 Le Bruyn, Lieven 19 Vancliff, Michaela 17 Olsson, Martin C. 17 Ueyama, Kenta 17 van Oystaeyen, Freddy 16 Chan, Daniel 16 Némethi, András 16 Popescu, Dorin 15 Rond, Guillaume 15 Stafford, J. Toby 14 Wu, Quanshui S. 13 Bell, Jason P. 13 Huneke, Craig L. 13 Kirkman, Ellen E. 13 Schütt, Matthias 13 Sierra, Susan J. 13 Ulrich, Bernd 12 Iyama, Osamu 12 Nyman, Adam 12 Walton, Chelsea 12 Yau, Stephen Shing-Toung 11 Chirvăsitu, Alexandru 11 Gateva-Ivanova, Tatiana 11 He, Jiwei 11 Liedtke, Christian 11 Okuma, Tomohiro 11 Porter, Timothy 11 Procesi, Claudio 11 Verschoren, Alain H. M. J. 10 Braun, Amiram 10 Catanese, Fabrizio M. E. 10 Ford, Timothy J. 10 Katsura, Toshiyuki 10 Lu, Jiafeng 10 Moerdijk, Ieke 10 Watanabe, Kei-ichi 9 Berger, Roland 9 Bilski, Marcin 9 Cassidy, Thomas 9 Colliot-Thélène, Jean-Louis 9 Hauser, Herwig 9 Letzter, Edward S. 9 Reichstein, Zinovy B. 9 Smoktunowicz, Agata 9 Yoshida, Ken-ichi 8 Abramovich, Dan 8 Caenepeel, Stefaan 8 Cheltsov, Ivan Anatol’evich 8 Dolgachev, Igor’ Vladimirovich 8 Esnault, Hélène 8 Horikawa, Eiji 8 Ingalls, Colin 8 Jørgensen, Peter Bjørn 8 Lan, Kai-Wen 8 Lieblich, Max David 8 Lorenzini, Dino J. 8 Lu, Di-Ming 8 Rosický, Jiří 8 Rydh, David 8 Saito, Shuji 8 Schelter, William F. 8 Shelton, Brad 8 Shimada, Ichiro 8 Shiota, Masahiro 8 Wahl, Jonathan M. 7 Becker, Joseph A. 7 Bocklandt, Raf 7 Cegarra, Antonio Martínez 7 Gabber, Ofer 7 Goodearl, Kenneth R. 7 Greuel, Gert-Martin 7 Harbourne, Brian 7 Hochster, Melvin 7 Kahn, Bruno 7 Lang, William E. 7 Lowen, Wendy 7 Makkai, Michael 7 Mir, Nordine 7 Parimala, Raman 7 Peternell, Thomas Martin 7 Pfister, Gerhard 7 Reguera, Ana-José 7 Tschinkel, Yuri 7 Vistoli, Angelo 7 Zhang, Yinhuo 6 Adámek, Jiří 6 Alper, Jarod 6 Andruskiewitsch, Nicolás 6 Antieau, Benjamin 6 Behnke, Kurt 6 Bitan, Rony A. 6 Bogomolov, Fedor Alekseivich 6 Carchedi, David Joseph ...and 2,669 more Authors all top 5 Cited in 310 Serials 363 Journal of Algebra 189 Journal of Pure and Applied Algebra 169 Advances in Mathematics 143 Transactions of the American Mathematical Society 138 Inventiones Mathematicae 128 Mathematische Annalen 126 Compositio Mathematica 120 Communications in Algebra 87 Mathematische Zeitschrift 74 Duke Mathematical Journal 67 Proceedings of the American Mathematical Society 62 Manuscripta Mathematica 50 Annales de l’Institut Fourier 47 Israel Journal of Mathematics 39 Journal für die Reine und Angewandte Mathematik 37 Journal of Algebraic Geometry 34 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 34 Nagoya Mathematical Journal 31 Algebras and Representation Theory 30 Algebra & Number Theory 28 Geometry & Topology 26 Journal of Number Theory 25 Topology and its Applications 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Publications Mathématiques 24 Journal of Noncommutative Geometry 24 European Journal of Mathematics 23 Selecta Mathematica. New Series 22 Journal of the American Mathematical Society 21 Cahiers de Topologie et Géométrie Différentielle Catégoriques 21 Algebraic & Geometric Topology 21 Forum of Mathematics, Sigma 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 20 Tôhoku Mathematical Journal. Second Series 20 Annals of Mathematics. Second Series 20 Bulletin of the American Mathematical Society 19 Journal of Geometry and Physics 19 Journal of the Institute of Mathematics of Jussieu 18 Journal of the European Mathematical Society (JEMS) 17 Documenta Mathematica 16 Communications in Mathematical Physics 16 Michigan Mathematical Journal 16 Journal of Algebra and its Applications 15 Memoirs of the American Mathematical Society 15 International Journal of Mathematics 14 Journal of Soviet Mathematics 14 Bulletin of the American Mathematical Society. New Series 14 Journal de Théorie des Nombres de Bordeaux 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Journal of the London Mathematical Society. Second Series 13 Ergodic Theory and Dynamical Systems 13 Journal of Mathematical Sciences (New York) 12 \(K\)-Theory 12 Linear Algebra and its Applications 11 Mathematical Notes 11 Journal of Symbolic Computation 11 Indagationes Mathematicae. New Series 11 Applied Categorical Structures 10 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Bulletin de la Société Mathématique de France 10 Mathematische Nachrichten 9 Glasgow Mathematical Journal 9 Journal of High Energy Physics 9 Science China. Mathematics 9 Kyoto Journal of Mathematics 8 Letters in Mathematical Physics 8 Functional Analysis and its Applications 8 Pacific Journal of Mathematics 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Transformation Groups 8 Journal of Homotopy and Related Structures 7 Archiv der Mathematik 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Theory and Applications of Categories 7 Central European Journal of Mathematics 6 Canadian Mathematical Bulletin 6 Journal of the Mathematical Society of Japan 6 Monatshefte für Mathematik 6 Proceedings of the London Mathematical Society. Third Series 6 Rendiconti del Seminario Matematico della Università di Padova 6 Annals of Pure and Applied Logic 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Expositiones Mathematicae 6 Bulletin des Sciences Mathématiques 6 Izvestiya: Mathematics 6 Acta Mathematica Sinica. English Series 6 Journal of Singularities 6 Journal de l’École Polytechnique – Mathématiques 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Rocky Mountain Journal of Mathematics 5 Arkiv för Matematik 5 Acta Mathematica 5 Bulletin of the London Mathematical Society 5 Osaka Journal of Mathematics 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the Japan Academy. Series A 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser ...and 210 more Serials all top 5 Cited in 54 Fields 2,011 Algebraic geometry (14-XX) 810 Associative rings and algebras (16-XX) 444 Commutative algebra (13-XX) 441 Category theory; homological algebra (18-XX) 398 Several complex variables and analytic spaces (32-XX) 316 Number theory (11-XX) 197 Algebraic topology (55-XX) 177 Nonassociative rings and algebras (17-XX) 157 Group theory and generalizations (20-XX) 120 Dynamical systems and ergodic theory (37-XX) 101 Differential geometry (53-XX) 101 Manifolds and cell complexes (57-XX) 96 \(K\)-theory (19-XX) 93 Global analysis, analysis on manifolds (58-XX) 74 Field theory and polynomials (12-XX) 58 Quantum theory (81-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 55 Mathematical logic and foundations (03-XX) 41 Topological groups, Lie groups (22-XX) 37 Functional analysis (46-XX) 34 General topology (54-XX) 31 Combinatorics (05-XX) 22 History and biography (01-XX) 22 Computer science (68-XX) 20 Functions of a complex variable (30-XX) 18 Operator theory (47-XX) 15 Real functions (26-XX) 15 Geometry (51-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 9 Special functions (33-XX) 9 Numerical analysis (65-XX) 8 Difference and functional equations (39-XX) 7 General algebraic systems (08-XX) 7 Measure and integration (28-XX) 7 Statistics (62-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Relativity and gravitational theory (83-XX) 7 Information and communication theory, circuits (94-XX) 6 Biology and other natural sciences (92-XX) 5 Convex and discrete geometry (52-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.