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Author ID: artin.michael Recent zbMATH articles by "Artin, Michael"
Published as: Artin, M.; Artin, Michael; Artin, M
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: 79 Publications since 1962, including 8 Books
11 Contributions as Editor · 8 Further Contributions
Biographic References: 3 Publications
Co-Authors: 28 Co-Authors with 47 Joint Publications
667 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 4,401 times in 3,010 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
324
1972
Algebraic approximation of structures over complete local rings. Zbl 0181.48802
Artin, M.
297
1969
On isolated rational singularities of surfaces. Zbl 0142.18602
Artin, M.
267
1966
Graded algebras of global dimension 3. Zbl 0633.16001
Artin, Michael; Schelter, William F.
242
1987
On the solutions of analytic equations. Zbl 0172.05301
Artin, M.
220
1968
Noncommutative projective schemes. Zbl 0833.14002
Artin, M.; Zhang, J. J.
216
1994
Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024
Artin, M.; Tate, J.; Van den Bergh, M.
196
1990
Etale homotopy. Zbl 0182.26001
Artin, M.; Mazur, B.
175
1969
Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404
Artin, M.
173
1962
Modules over regular algebras of dimension 3. Zbl 0763.14001
Artin, M.; Tate, J.; Van den Bergh, M.
152
1991
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
133
1972
Versal deformations and algebraic stacks. Zbl 0317.14001
Artin, M.
120
1974
On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007
Artin, M.
117
1969
On periodic points. Zbl 0127.13401
Artin, M.; Mazur, B.
113
1965
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
95
1970
Twisted homogeneous coordinate rings. Zbl 0717.14001
Artin, M.; Van den Bergh, M.
83
1990
Supersingular K3 surfaces. Zbl 0322.14014
Artin, M.
81
1974
Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015
Artin, Michael; Schelter, William; Tate, John
80
1991
Grothendieck topologies. Zbl 0208.48701
Artin, M.
76
1962
Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003
Artin, M.
63
1970
Algebraization of formal moduli. I. Zbl 0205.50402
Artin, M.
63
1969
Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013
Artin, M.
61
1974
Algebra. Zbl 0788.00001
Artin, Michael
56
1991
On the joints of Hensel rings. Zbl 0242.13021
Artin, M.
55
1971
Noncommutative graded domains with quadratic growth. Zbl 0849.16022
Artin, M.; Stafford, J. T.
52
1995
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
51
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
49
1973
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
48
1970
Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019
Artin, M.; Nagata, M.
47
1972
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
45
1970
Generic flatness for strongly Noetherian algebras. Zbl 0958.16024
Artin, M.; Small, L. W.; Zhang, J. J.
42
1999
Abstract Hilbert schemes. I. Zbl 1030.14003
Artin, M.; Zhang, J. J.
36
2001
The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003
Artin, M.; Swinnerton-Dyer, H. P. F.
35
1973
Reflexive modules over rational double points. Zbl 0553.14001
Artin, M.; Verdier, J.-L.
33
1985
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
32
1972
Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum. Zbl 0395.14003
Artin, Michael
30
1976
Geometry of quantum planes. Zbl 0749.14002
Artin, Michael
29
1992
Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006
Artin, M.
26
1982
On the van Kampen theorem. Zbl 0138.18301
Artin, M.; Mazur, B.
26
1966
Degenerate fibres and stable reduction of curves. Zbl 0196.24403
Artin, M.; Winters, G.
24
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
21
2011
Coverings of the rational double points in characteristic p. Zbl 0358.14008
Artin, M.
20
1977
Some problems on three-dimensional graded domains. Zbl 0888.16025
Artin, M.
20
1997
Integral ring homomorphisms. Zbl 0461.16014
Artin, M.; Schelter, W.
20
1981
Maximal orders of global dimension and Krull dimension two. Zbl 0591.16002
Artin, M.
16
1986
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
16
2005
The implicit function theorem in algebraic geometry. Zbl 0217.04901
Artin, M.
14
1969
Algebraic spaces. Zbl 0226.14001
Artin, Michael
13
1971
Two-dimensional orders of finite representation type. Zbl 0625.16005
Artin, Michael
12
1987
Duality in the flat cohomology of curves. Zbl 0342.14007
Artin, M.; Milne, J. S.
11
1976
Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011
Artin, M.
11
1986
Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015
Artin, M.
11
1975
Algebraic structure of power series rings. Zbl 0528.13021
Artin, M.
9
1982
Etale coverings of schemes over Hensel rings. Zbl 0148.41602
Artin, M.
9
1966
Specialization of representations of rings. Zbl 0402.16018
Artin, M.
8
1977
Semiprime graded algebras of dimension two. Zbl 0967.16021
Artin, M.; Stafford, J. T.
8
2000
Néron models. Zbl 0603.14028
Artin, M.
7
1986
Left ideals in maximal orders. Zbl 0506.14003
Artin, M.
7
1982
Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002
Artin, M.
7
1973
A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011
Artin, M.; Schelter, W.
6
1979
A structure theorem for power series rings. Zbl 0709.13009
Artin, Michael; Rotthaus, Christel
6
1988
The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019
Artin, Michael; Schelter, William; Tate, John
6
1994
Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001
Artin, Michael
6
1973
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
5
1983
Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008
Artin, M.
5
1973
On algebraic extensions of local rings. Zbl 0147.29304
Artin, M.
5
1966
Algebraic spaces. Zbl 0216.05501
Artin, M.
5
1971
Correction to: Maximal orders of global dimension and Krull dimension two. Zbl 0622.16003
Artin, M.
4
1987
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
4
1978
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
4
2011
Algebraization of formal moduli. Zbl 0213.47203
Artin, M.
4
1970
Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002
Artin, M.
4
1973
Local structure of maximal orders on surfaces. Zbl 0508.14027
Artin, M.
3
1982
Homotopy of varieties in the etale topology. Zbl 0188.53402
Artin, 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 0232.14003
Artin, M.
3
1971
Dualité. Zbl 0349.14011
Deligne, Pierre
2
1977
Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Zbl 0518.00004
2
1983
Dimension cohomologique: premiers résultats. Zbl 0269.14007
Artin, M.
2
1973
Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011
Artin, M.
2
1973
Lifting of two-dimensional singularities to characteristic zero. Zbl 0146.17101
Artin, M.
2
1966
The etale topology of schemes. Zbl 0199.24603
Artin, 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
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
1
1998
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1
1973
On two-sided modules which are left projective. Zbl 0468.16019
Artin, M.; Schelter, W.
1
1981
Duration and change: fifty years at Oberwolfach. Zbl 0812.01053
1
1994
Morphismes acycliques. Zbl 0269.14010
Artin, M.
1
1973
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
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
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
21
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
4
2011
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
16
2005
Abstract Hilbert schemes. I. Zbl 1030.14003
Artin, M.; Zhang, J. J.
36
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.
42
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
1
1998
Some problems on three-dimensional graded domains. Zbl 0888.16025
Artin, M.
20
1997
Noncommutative graded domains with quadratic growth. Zbl 0849.16022
Artin, M.; Stafford, J. T.
52
1995
Noncommutative projective schemes. Zbl 0833.14002
Artin, M.; Zhang, J. J.
216
1994
The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019
Artin, Michael; Schelter, William; Tate, John
6
1994
Duration and change: fifty years at Oberwolfach. Zbl 0812.01053
1
1994
Geometry of quantum planes. Zbl 0749.14002
Artin, Michael
29
1992
Modules over regular algebras of dimension 3. Zbl 0763.14001
Artin, M.; Tate, J.; Van den Bergh, M.
152
1991
Quantum deformations of \(\text{GL}_ n\). Zbl 0753.17015
Artin, Michael; Schelter, William; Tate, John
80
1991
Algebra. Zbl 0788.00001
Artin, Michael
56
1991
Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024
Artin, M.; Tate, J.; Van den Bergh, M.
196
1990
Twisted homogeneous coordinate rings. Zbl 0717.14001
Artin, M.; Van den Bergh, M.
83
1990
A structure theorem for power series rings. Zbl 0709.13009
Artin, Michael; Rotthaus, Christel
6
1988
Graded algebras of global dimension 3. Zbl 0633.16001
Artin, Michael; Schelter, William F.
242
1987
Two-dimensional orders of finite representation type. Zbl 0625.16005
Artin, Michael
12
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.
16
1986
Lipman’s proof of resolution of singularities for surfaces. Zbl 0602.14011
Artin, M.
11
1986
Néron models. Zbl 0603.14028
Artin, M.
7
1986
Reflexive modules over rational double points. Zbl 0553.14001
Artin, M.; Verdier, J.-L.
33
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
2
1983
Brauer-Severi varieties. (Notes by A. Verschoren). Zbl 0536.14006
Artin, M.
26
1982
Algebraic structure of power series rings. Zbl 0528.13021
Artin, M.
9
1982
Left ideals in maximal orders. Zbl 0506.14003
Artin, M.
7
1982
Local structure of maximal orders on surfaces. Zbl 0508.14027
Artin, M.
3
1982
Integral ring homomorphisms. Zbl 0461.16014
Artin, M.; Schelter, W.
20
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
4
1978
Formal groups arising from algebraic varieties. Zbl 0351.14023
Artin, M.; Mazur, B.
51
1977
Coverings of the rational double points in characteristic p. Zbl 0358.14008
Artin, M.
20
1977
Specialization of representations of rings. Zbl 0402.16018
Artin, M.
8
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
30
1976
Duality in the flat cohomology of curves. Zbl 0342.14007
Artin, M.; Milne, J. S.
11
1976
Wildly ramified Z/2 actions in dimension two. Zbl 0315.14015
Artin, M.
11
1975
Versal deformations and algebraic stacks. Zbl 0317.14001
Artin, M.
120
1974
Supersingular K3 surfaces. Zbl 0322.14014
Artin, M.
81
1974
Algebraic construction of Brieskorn’s resolutions. Zbl 0292.14013
Artin, M.
61
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
49
1973
The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003
Artin, M.; Swinnerton-Dyer, H. P. F.
35
1973
Théorème de finitude pour un morphisme propre; dimension cohomologique des schémas algébriques affines. Zbl 0265.14002
Artin, M.
7
1973
Théoremes de représentabilite pour les espaces algébriques. En collaboration avec Alexandru Lascu et Jean-Francois Boutot. Zbl 0323.14001
Artin, Michael
6
1973
Comparaison avec la cohomologie classique: cas d’un schéma lisse. Zbl 0267.14008
Artin, M.
5
1973
Faisceaux constructibles. Cohomologie d’une courbe algébrique. Zbl 0262.14002
Artin, M.
4
1973
Dimension cohomologique: premiers résultats. Zbl 0269.14007
Artin, M.
2
1973
Théorème de changement de base par un morphisme lisse, et applications. Zbl 0269.14011
Artin, M.
2
1973
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1
1973
Morphismes acycliques. Zbl 0269.14010
Artin, M.
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
324
1972
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
133
1972
Residual intersections in Cohen-Macaulay rings. Zbl 0263.14019
Artin, M.; Nagata, M.
47
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
32
1972
On the joints of Hensel rings. Zbl 0242.13021
Artin, M.
55
1971
Degenerate fibres and stable reduction of curves. Zbl 0196.24403
Artin, M.; Winters, G.
24
1971
Algebraic spaces. Zbl 0226.14001
Artin, Michael
13
1971
Algebraic spaces. Zbl 0216.05501
Artin, M.
5
1971
Construction techniques for algebraic spaces. Zbl 0232.14003
Artin, 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
95
1970
Algebraization of formal moduli. II: Existence of modifications. Zbl 0177.49003
Artin, M.
63
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
48
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
45
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.
297
1969
Etale homotopy. Zbl 0182.26001
Artin, M.; Mazur, B.
175
1969
On Azumaya algebras and finite dimensional representations of rings. Zbl 0222.16007
Artin, M.
117
1969
Algebraization of formal moduli. I. Zbl 0205.50402
Artin, M.
63
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.
220
1968
The etale topology of schemes. Zbl 0199.24603
Artin, M.
2
1968
Homotopy of varieties in the etale topology. Zbl 0188.53402
Artin, M.; Mazur, B.
3
1967
On isolated rational singularities of surfaces. Zbl 0142.18602
Artin, M.
267
1966
On the van Kampen theorem. Zbl 0138.18301
Artin, M.; Mazur, B.
26
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.
113
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 0105.14404
Artin, M.
173
1962
Grothendieck topologies. Zbl 0208.48701
Artin, M.
76
1962
all top 5

Cited by 2,459 Authors

43 Zhang, James J.
30 Smith, S. Paul
30 Van den Bergh, Michel
24 Mori, Izuru
21 Artin, Michael
21 Rogalski, Daniel
20 Le Bruyn, Lieven
19 Vancliff, Michaela
18 Schröer, Stefan
17 van Oystaeyen, Freddy
16 Popescu, Dorin
15 Chan, Daniel
15 Olsson, Martin C.
14 Rond, Guillaume
14 Stafford, J. Toby
14 Ueyama, Kenta
13 Huneke, Craig L.
13 Ulrich, Bernd
13 Wu, Quanshui S.
12 Kirkman, Ellen E.
12 Némethi, András
12 Nyman, Adam
12 Schütt, Matthias
12 Sierra, Susan J.
11 Bell, Jason P.
11 Iyama, Osamu
11 Porter, Timothy
11 Procesi, Claudio
11 Verschoren, Alain H. M. J.
10 Braun, Amiram
10 Ford, Timothy J.
10 He, Jiwei
10 Katsura, Toshiyuki
10 Liedtke, Christian
10 Lu, Jiafeng
10 Okuma, Tomohiro
10 Walton, Chelsea
10 Yau, Stephen Shing-Toung
9 Berger, Roland
9 Bilski, Marcin
9 Cassidy, Thomas
9 Colliot-Thélène, Jean-Louis
9 Gateva-Ivanova, Tatiana
9 Letzter, Edward S.
9 Smoktunowicz, Agata
9 Watanabe, Kei-ichi
8 Caenepeel, Stefaan
8 Chirvăsitu, Alexandru
8 Esnault, Hélène
8 Hauser, Herwig
8 Horikawa, Eiji
8 Jørgensen, Peter Bjørn
8 Lu, Di-Ming
8 Reichstein, Zinovy B.
8 Schelter, William F.
8 Shelton, Brad
8 Shimada, Ichiro
8 Shiota, Masahiro
8 Wahl, Jonathan M.
8 Yoshida, Ken-ichi
7 Abramovich, Dan
7 Becker, Joseph A.
7 Bocklandt, Raf
7 Catanese, Fabrizio M. E.
7 Cegarra, Antonio Martínez
7 Cheltsov, Ivan Anatol’evich
7 Gabber, Ofer
7 Goodearl, Kenneth R.
7 Harbourne, Brian
7 Hochster, Melvin
7 Ingalls, Colin
7 Lang, William E.
7 Lieblich, Max David
7 Lorenzini, Dino J.
7 Makkai, Michael
7 Moerdijk, Ieke
7 Peternell, Thomas Martin
7 Pfister, Gerhard
7 Reguera, Ana-José
7 Tschinkel, Yuri
7 Vistoli, Angelo
7 Zhang, Yinhuo
6 Antieau, Benjamin
6 Behnke, Kurt
6 Bogomolov, Fedor Alekseivich
6 Dolgachev, Igor’ Vladimirovich
6 Edwards, David A.
6 Fisher, Tom A.
6 Friedlander, Eric Mark
6 Gaddis, Jason
6 Geoghegan, Ross
6 Greuel, Gert-Martin
6 Hara, Nobuo
6 Hirokado, Masayuki
6 Ile, Runar
6 Isaksen, Daniel C.
6 Ito, Hiroyuki
6 Kahn, Bruno
6 Keeler, Dennis Shawn
6 Kollár, János
...and 2,359 more Authors
all top 5

Cited in 274 Serials

344 Journal of Algebra
169 Journal of Pure and Applied Algebra
154 Advances in Mathematics
134 Transactions of the American Mathematical Society
131 Inventiones Mathematicae
128 Mathematische Annalen
116 Communications in Algebra
115 Compositio Mathematica
79 Mathematische Zeitschrift
68 Duke Mathematical Journal
60 Proceedings of the American Mathematical Society
59 Manuscripta Mathematica
45 Annales de l’Institut Fourier
39 Israel Journal of Mathematics
36 Journal of Algebraic Geometry
34 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
31 Nagoya Mathematical Journal
30 Algebras and Representation Theory
29 Journal für die Reine und Angewandte Mathematik
25 Journal of Number Theory
25 Topology and its Applications
24 Publications Mathématiques
24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Journal of Noncommutative Geometry
21 Cahiers de Topologie et Géométrie Différentielle Catégoriques
21 Journal of the American Mathematical Society
21 Geometry & Topology
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
20 Selecta Mathematica. New Series
20 Bulletin of the American Mathematical Society
20 European Journal of Mathematics
19 Tohoku Mathematical Journal. Second Series
19 Annals of Mathematics. Second Series
19 Algebraic & Geometric Topology
18 Journal of Geometry and Physics
16 Communications in Mathematical Physics
16 Journal of the European Mathematical Society (JEMS)
15 International Journal of Mathematics
14 Journal of Soviet Mathematics
14 Michigan Mathematical Journal
14 Documenta Mathematica
14 Algebra & Number Theory
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Ergodic Theory and Dynamical Systems
13 Bulletin of the American Mathematical Society. New Series
13 Journal of Mathematical Sciences (New York)
12 \(K\)-Theory
12 Forum of Mathematics, Sigma
11 Mathematical Notes
11 Memoirs of the American Mathematical Society
11 Linear Algebra and its Applications
11 Indagationes Mathematicae. New Series
11 Journal of the Institute of Mathematics of Jussieu
11 Journal of Algebra and its Applications
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Journal of Symbolic Computation
10 Applied Categorical Structures
10 Journal de Théorie des Nombres de Bordeaux
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 Journal of High Energy Physics
9 Science China. Mathematics
8 Bulletin de la Société Mathématique de France
8 Functional Analysis and its Applications
8 Glasgow Mathematical Journal
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Kyoto Journal of Mathematics
7 Letters in Mathematical Physics
7 Archiv der Mathematik
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Theory and Applications of Categories
7 Transformation Groups
7 Central European Journal of Mathematics
7 Journal of Homotopy and Related Structures
6 Mathematische Nachrichten
6 Monatshefte für Mathematik
6 Rendiconti del Seminario Matematico della Università di Padova
6 Annals of Pure and Applied Logic
6 Expositiones Mathematicae
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Rocky Mountain Journal of Mathematics
5 Acta Mathematica
5 Journal of the London Mathematical Society. Second Series
5 Journal of the Mathematical Society of Japan
5 Osaka Journal of Mathematics
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Proceedings of the Japan Academy. Series A
5 Bulletin des Sciences Mathématiques
5 Acta Mathematica Sinica. English Series
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
5 Journal of \(K\)-Theory
5 Journal of Singularities
5 Journal de l’École Polytechnique – Mathématiques
4 Nuclear Physics. B
4 Russian Mathematical Surveys
4 Arkiv för Matematik
4 Pacific Journal of Mathematics
4 Proceedings of the London Mathematical Society. Third Series
4 Physica D
...and 174 more Serials
all top 5

Cited in 53 Fields

1,777 Algebraic geometry (14-XX)
744 Associative rings and algebras (16-XX)
406 Commutative algebra (13-XX)
383 Category theory; homological algebra (18-XX)
359 Several complex variables and analytic spaces (32-XX)
260 Number theory (11-XX)
174 Algebraic topology (55-XX)
163 Nonassociative rings and algebras (17-XX)
137 Group theory and generalizations (20-XX)
116 Dynamical systems and ergodic theory (37-XX)
92 Differential geometry (53-XX)
90 Manifolds and cell complexes (57-XX)
87 Global analysis, analysis on manifolds (58-XX)
81 \(K\)-theory (19-XX)
67 Field theory and polynomials (12-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
50 Quantum theory (81-XX)
41 Mathematical logic and foundations (03-XX)
36 Topological groups, Lie groups (22-XX)
31 Functional analysis (46-XX)
31 General topology (54-XX)
28 Combinatorics (05-XX)
17 Functions of a complex variable (30-XX)
16 History and biography (01-XX)
16 Operator theory (47-XX)
15 Real functions (26-XX)
14 Ordinary differential equations (34-XX)
14 Geometry (51-XX)
14 Computer science (68-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Partial differential equations (35-XX)
8 Special functions (33-XX)
8 Numerical analysis (65-XX)
7 General algebraic systems (08-XX)
7 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Relativity and gravitational theory (83-XX)
6 General and overarching topics; collections (00-XX)
5 Information and communication theory, circuits (94-XX)
4 Convex and discrete geometry (52-XX)
4 Biology and other natural sciences (92-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Statistics (62-XX)
3 Mechanics of particles and systems (70-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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