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Milne, James Stuart

Author ID: milne.james-stuart Recent zbMATH articles by "Milne, James Stuart"
Published as: Milne, J. S.; Milne, James S.; Milne, James Stuart; Milne, James
Homepage: https://www.jmilne.org/math/index.html
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Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 2,545 times in 2,112 Documents Cited by Year
Étale cohomology. Zbl 0433.14012
Milne, J. S.
802
1980
Hodge cycles, motives, and Shimura varieties. Zbl 0465.00010
Deligne, Pierre; Milne, James S.; Ogus, Arthur; Shih, Kuang-yen
244
1982
Tannakian categories. Zbl 0477.14004
Deligne, Pierre; Milne, J. S.
194
1982
Arithmetic duality theorems. Zbl 0613.14019
Milne, J. S.
193
1986
Arithmetic duality theorems. 2nd ed. Zbl 1127.14001
Milne, J. S.
153
2006
Algebraic groups. The theory of group schemes of finite type over a field. Zbl 1390.14004
Milne, J. S.
113
2017
Abelian varieties. Zbl 0604.14028
Milne, J. S.
94
1986
On the arithmetic of abelian varieties. Zbl 0249.14012
Milne, J. S.
78
1972
Hodge cycles on abelian varieties. (Notes by J. S. Milne). Zbl 0537.14006
Deligne, Pierre
70
1982
Introduction to Shimura varieties. Zbl 1148.14011
Milne, J. S.
67
2005
On a conjecture of Artin and Tate. Zbl 0343.14005
Milne, J. S.
58
1975
Values of zeta functions of varieties over finite fields. Zbl 0611.14020
Milne, J. S.
54
1986
Jacobian varieties. Zbl 0604.14018
Milne, J. S.
48
1986
Duality in the flat cohomology of a surface. Zbl 0334.14010
Milne, J. S.
46
1976
Canonical models of (mixed) Shimura varieties and automorphic vector bundles. Zbl 0704.14016
Milne, J. S.
36
1990
The points on a Shimura variety modulo a prime of good reduction. Zbl 0821.14016
Milne, James S.
29
1992
Zero cycles on algebraic varieties in nonzero characteristic: Rojtman’s theorem. Zbl 0506.14006
Milne, J. S.
24
1982
Abelian varieties over finite fields. Zbl 0216.33102
Waterhouse, W. C.; Milne, J. S.
23
1971
The Tate-Šafarevič group of a constant abelian variety. Zbl 0159.22402
Milne, J. S.
23
1968
Motives over finite fields. Zbl 0811.14018
Milne, J. S.
18
1994
Duality in the flat cohomology of curves. Zbl 0342.14007
Artin, M.; Milne, J. S.
16
1976
Shimura varieties and motives. Zbl 0816.14022
Milne, J. S.
15
1994
Lefschetz classes on abelian varieties. Zbl 0976.14009
Milne, J. S.
15
1999
Elliptic curves. Zbl 1112.14001
Milne, J. S.
13
2006
Shimura varieties and moduli. Zbl 1322.14012
Milne, J. S.
13
2013
Conjugates of Shimura varieties. Zbl 0478.14029
Milne, J. S.; Shih, K.-y.
12
1982
Points on Shimura varieties mod \(p\). Zbl 0418.14022
Milne, J. S.
12
1979
Nonhomeomorphic conjugates of connected Shimura varieties. Zbl 1194.14034
Milne, James S.; Suh, Junecue
10
2010
The Brauer group of a rational surface. Zbl 0205.25101
Milne, J. S.
10
1970
Weil-Châtelet groups over local fields. Zbl 0212.53201
Milne, J. S.
10
1970
Comparison of the Brauer group with the Tate-Safarevic group. Zbl 0503.14010
Milne, J. S.
9
1981
Motivic cohomology and values of zeta functions. Zbl 0681.14007
Milne, J. S.
9
1988
Extensions of abelian varieties defines over a finite field. Zbl 0205.24901
Milne, J. S.
8
1968
The action of an automorphism of C on a Shimura variety and its special points. Zbl 0527.14035
Milne, J. S.
7
1983
Motives – Grothendieck’s dream. Zbl 1314.14010
Milne, James S.
7
2013
The homological dimension of commutative group schemes over a perfect field. Zbl 0212.53102
Milne, J. S.
7
1970
Lefschetz motives and the Tate conjecture. Zbl 0985.14010
Milne, J. S.
5
1999
The Tate conjecture for certain Abelian varieties over finite fields. Zbl 1047.11057
Milne, J. S.
5
2001
The action of complex conjugation on a Shimura variety. Zbl 0443.14014
Milne, J. S.; Shih, K.-y.
5
1981
Fields and Galois theory. Zbl 1508.12001
Milne, J. S.
5
2022
Elements of order p in the Tate-Šafarevič group. Zbl 0205.50801
Milne, J. S.
5
1970
Langlands’s construction of the Taniyama group. Zbl 0478.12011
Milne, J. S.; Shih, K.-y.
4
1982
Automorphic vector bundles on connected Shimura varieties. Zbl 0684.14006
Milne, J. S.
4
1988
Integral motives and special values of zeta functions. Zbl 1077.11043
Milne, James S.; Ramachandran, Niranjan
4
2004
Automorphisms groups of Shimura varieties and reciprocity laws. Zbl 0475.14022
Milne, J. S.; Shih, Kuang-yen
3
1981
Quotients of Tannakian categories. Zbl 1154.18004
Milne, J. S.
3
2007
Descent for Shimura varieties. Zbl 0984.11028
Milne, J. S.
3
1999
Congruence subgroups of Abelian varieties. Zbl 0247.14003
Milne, James Stuart
3
1972
Abelian varieties defined over their fields of moduli. I. Zbl 0256.14017
Milne, J. S.
3
1972
The work of John Tate. Zbl 1317.01011
Milne, J. S.
3
2014
The \(p\)-cohomology of algebraic varieties and special values of zeta functions. Zbl 1360.14074
Milne, James S.; Ramachandran, Niranjan
3
2015
The Riemann hypothesis over finite fields - from Weil to the present day. Zbl 1368.11002
Milne, James S.
3
2016
Some estimates from etale cohomology. Zbl 0457.14012
Milne, J. S.
2
1981
Étale cohomology. (Ehtal’nye kogomologii). Transl. from the English. Zbl 0544.14015
Milne, J. S.
2
1983
Weil-Chatelet groups over local fields: Addendum. Zbl 0241.14022
Milne, James S.
2
1972
The de Rham–Witt and \(\mathbb Z_p\)-cohomologies of an algebraic variety. Zbl 1088.14006
Milne, James S.; Ramachandran, Niranjan
1
2005
The conjecture of Langlands and Rapoport for Siegel modular varieties. Zbl 0743.11031
Milne, J. S.
1
1991
Polarizations and Grothendieck’s standard conjectures. Zbl 1055.14008
Milne, J. S.
1
2002
Motivic complexes over finite fields and the ring of correspondences at the generic point. Zbl 1187.14007
Milne, James S.; Ramachandran, Niranjan
1
2009
On a theorem of Mazur and Roberts. Zbl 0261.14010
Milne, J. S.
1
1973
Correction: Abelian varieties defined over their fields of moduli. I. Zbl 0284.14017
Milne, J. S.
1
1974
Periods of abelian varieties. Zbl 1148.11312
Milne, J. S.
1
2004
Automorphic forms, Shimura varieties, and L-functions. Volume I. Proceedings of a conference held at the University of Michigan, Ann Arbor/MI (USA), July 6-16, 1988. Zbl 0684.00003
1
1990
Fields and Galois theory. Zbl 1508.12001
Milne, J. S.
5
2022
Algebraic groups. The theory of group schemes of finite type over a field. Zbl 1390.14004
Milne, J. S.
113
2017
The Riemann hypothesis over finite fields - from Weil to the present day. Zbl 1368.11002
Milne, James S.
3
2016
The \(p\)-cohomology of algebraic varieties and special values of zeta functions. Zbl 1360.14074
Milne, James S.; Ramachandran, Niranjan
3
2015
The work of John Tate. Zbl 1317.01011
Milne, J. S.
3
2014
Shimura varieties and moduli. Zbl 1322.14012
Milne, J. S.
13
2013
Motives – Grothendieck’s dream. Zbl 1314.14010
Milne, James S.
7
2013
Nonhomeomorphic conjugates of connected Shimura varieties. Zbl 1194.14034
Milne, James S.; Suh, Junecue
10
2010
Motivic complexes over finite fields and the ring of correspondences at the generic point. Zbl 1187.14007
Milne, James S.; Ramachandran, Niranjan
1
2009
Quotients of Tannakian categories. Zbl 1154.18004
Milne, J. S.
3
2007
Arithmetic duality theorems. 2nd ed. Zbl 1127.14001
Milne, J. S.
153
2006
Elliptic curves. Zbl 1112.14001
Milne, J. S.
13
2006
Introduction to Shimura varieties. Zbl 1148.14011
Milne, J. S.
67
2005
The de Rham–Witt and \(\mathbb Z_p\)-cohomologies of an algebraic variety. Zbl 1088.14006
Milne, James S.; Ramachandran, Niranjan
1
2005
Integral motives and special values of zeta functions. Zbl 1077.11043
Milne, James S.; Ramachandran, Niranjan
4
2004
Periods of abelian varieties. Zbl 1148.11312
Milne, J. S.
1
2004
Polarizations and Grothendieck’s standard conjectures. Zbl 1055.14008
Milne, J. S.
1
2002
The Tate conjecture for certain Abelian varieties over finite fields. Zbl 1047.11057
Milne, J. S.
5
2001
Lefschetz classes on abelian varieties. Zbl 0976.14009
Milne, J. S.
15
1999
Lefschetz motives and the Tate conjecture. Zbl 0985.14010
Milne, J. S.
5
1999
Descent for Shimura varieties. Zbl 0984.11028
Milne, J. S.
3
1999
Motives over finite fields. Zbl 0811.14018
Milne, J. S.
18
1994
Shimura varieties and motives. Zbl 0816.14022
Milne, J. S.
15
1994
The points on a Shimura variety modulo a prime of good reduction. Zbl 0821.14016
Milne, James S.
29
1992
The conjecture of Langlands and Rapoport for Siegel modular varieties. Zbl 0743.11031
Milne, J. S.
1
1991
Canonical models of (mixed) Shimura varieties and automorphic vector bundles. Zbl 0704.14016
Milne, J. S.
36
1990
Automorphic forms, Shimura varieties, and L-functions. Volume I. Proceedings of a conference held at the University of Michigan, Ann Arbor/MI (USA), July 6-16, 1988. Zbl 0684.00003
1
1990
Motivic cohomology and values of zeta functions. Zbl 0681.14007
Milne, J. S.
9
1988
Automorphic vector bundles on connected Shimura varieties. Zbl 0684.14006
Milne, J. S.
4
1988
Arithmetic duality theorems. Zbl 0613.14019
Milne, J. S.
193
1986
Abelian varieties. Zbl 0604.14028
Milne, J. S.
94
1986
Values of zeta functions of varieties over finite fields. Zbl 0611.14020
Milne, J. S.
54
1986
Jacobian varieties. Zbl 0604.14018
Milne, J. S.
48
1986
The action of an automorphism of C on a Shimura variety and its special points. Zbl 0527.14035
Milne, J. S.
7
1983
Étale cohomology. (Ehtal’nye kogomologii). Transl. from the English. Zbl 0544.14015
Milne, J. S.
2
1983
Hodge cycles, motives, and Shimura varieties. Zbl 0465.00010
Deligne, Pierre; Milne, James S.; Ogus, Arthur; Shih, Kuang-yen
244
1982
Tannakian categories. Zbl 0477.14004
Deligne, Pierre; Milne, J. S.
194
1982
Hodge cycles on abelian varieties. (Notes by J. S. Milne). Zbl 0537.14006
Deligne, Pierre
70
1982
Zero cycles on algebraic varieties in nonzero characteristic: Rojtman’s theorem. Zbl 0506.14006
Milne, J. S.
24
1982
Conjugates of Shimura varieties. Zbl 0478.14029
Milne, J. S.; Shih, K.-y.
12
1982
Langlands’s construction of the Taniyama group. Zbl 0478.12011
Milne, J. S.; Shih, K.-y.
4
1982
Comparison of the Brauer group with the Tate-Safarevic group. Zbl 0503.14010
Milne, J. S.
9
1981
The action of complex conjugation on a Shimura variety. Zbl 0443.14014
Milne, J. S.; Shih, K.-y.
5
1981
Automorphisms groups of Shimura varieties and reciprocity laws. Zbl 0475.14022
Milne, J. S.; Shih, Kuang-yen
3
1981
Some estimates from etale cohomology. Zbl 0457.14012
Milne, J. S.
2
1981
Étale cohomology. Zbl 0433.14012
Milne, J. S.
802
1980
Points on Shimura varieties mod \(p\). Zbl 0418.14022
Milne, J. S.
12
1979
Duality in the flat cohomology of a surface. Zbl 0334.14010
Milne, J. S.
46
1976
Duality in the flat cohomology of curves. Zbl 0342.14007
Artin, M.; Milne, J. S.
16
1976
On a conjecture of Artin and Tate. Zbl 0343.14005
Milne, J. S.
58
1975
Correction: Abelian varieties defined over their fields of moduli. I. Zbl 0284.14017
Milne, J. S.
1
1974
On a theorem of Mazur and Roberts. Zbl 0261.14010
Milne, J. S.
1
1973
On the arithmetic of abelian varieties. Zbl 0249.14012
Milne, J. S.
78
1972
Congruence subgroups of Abelian varieties. Zbl 0247.14003
Milne, James Stuart
3
1972
Abelian varieties defined over their fields of moduli. I. Zbl 0256.14017
Milne, J. S.
3
1972
Weil-Chatelet groups over local fields: Addendum. Zbl 0241.14022
Milne, James S.
2
1972
Abelian varieties over finite fields. Zbl 0216.33102
Waterhouse, W. C.; Milne, J. S.
23
1971
The Brauer group of a rational surface. Zbl 0205.25101
Milne, J. S.
10
1970
Weil-Châtelet groups over local fields. Zbl 0212.53201
Milne, J. S.
10
1970
The homological dimension of commutative group schemes over a perfect field. Zbl 0212.53102
Milne, J. S.
7
1970
Elements of order p in the Tate-Šafarevič group. Zbl 0205.50801
Milne, J. S.
5
1970
The Tate-Šafarevič group of a constant abelian variety. Zbl 0159.22402
Milne, J. S.
23
1968
Extensions of abelian varieties defines over a finite field. Zbl 0205.24901
Milne, J. S.
8
1968
all top 5

Cited by 1,738 Authors

28 Biswas, Indranil
15 Colliot-Thélène, Jean-Louis
15 Gonzalez-Avilés, Cristian D.
15 Milne, James Stuart
14 Ford, Timothy J.
14 Geisser, Thomas H.
14 Harari, David
14 Nguyễn Quôc Thăng
13 Skorobogatov, Alexei Nikolaïevitch
11 Borovoi, Mikhail V.
11 Chinburg, Ted
11 Schoen, Chad
11 Trihan, Fabien
10 Esnault, Hélène
10 Kahn, Bruno
10 Pianzola, Arturo
10 Ulmer, Douglas L.
9 Chernousov, Vladimir I.
9 Gille, Philippe
9 Hida, Haruzo
9 Jahnel, Jörg
8 Banaszak, Grzegorz
8 Daw, Christopher
8 Deninger, Christopher
8 Longhi, Ignazio
8 Mazur, Barry
8 Movasati, Hossein
8 Parimala, Raman
8 Phùng Hô‘ Hài
8 Rapinchuk, Igor A.
8 Srinivas, Vasudevan
8 Tan, Ki-Seng
8 Voloch, José Felipe
7 Brion, Michel
7 Elsenhans, Andreas-Stephan
7 Izquierdo, Diego
7 Lim, Meng Fai
7 Merkur’ev, Aleksandr Sergeevich
7 Moonen, Ben
7 Pál, Ambrus
7 Poonen, Bjorn
7 Pridham, Jonathan Paul
7 Ramachandran, Niranjan
7 Saito, Shuji
7 Schmidt, Alexander
7 Totaro, Burt
7 Zarkhin, Yuriĭ Gennad’evich
6 Bleher, Frauke M.
6 Brussel, Eric S.
6 Etingof, Pavel Il’ich
6 Gonzalez Rovira, Josep
6 Harris, Michael Howard
6 Joshua, Roy
6 Kramer, Kenneth B.
6 Krishna, Amalendu
6 Larsen, Michael Jeffrey
6 Loughran, Daniel
6 Murty, Vijaya Kumar
6 Olsson, Martin C.
6 Ovchinnikov, Alexey Igorevich
6 Papanikolas, Matthew A.
6 Pappas, Georgios
6 Petersen, Sebastian
6 Rapinchuk, Andrei S.
6 Sato, Kanetomo
6 Schaefer, Edward F.
6 Stoll, Michael
6 Ramdorai, Sujatha
6 Szamuely, Tamás
6 Tabuada, Gonçalo
6 Taylor, Martin J.
6 van der Put, Marius
6 Wittenberg, Olivier
5 Abdulali, Salman
5 Abramovich, Dan
5 Anderson, Greg W.
5 Bandini, Andrea
5 Bertolini, Massimo
5 Bezrukavnikov, Roman
5 Binda, Federico
5 Cadoret, Anna
5 Calegari, Frank
5 Clark, Peter Louis
5 Creutz, Brendan
5 Demarche, Cyril
5 DeMeyer, Frank R.
5 Etesse, Jean-Yves
5 Fisher, Tom A.
5 Guitart, Xavier
5 Harbater, David
5 Hartl, Urs T.
5 Howard, Benjamin
5 Jannsen, Uwe
5 Javanpeykar, Ariyan
5 Katsura, Toshiyuki
5 Keller, Timo
5 Kisin, Mark
5 Lai, King Fai
5 Longo, Matteo
5 Matar, Ahmed
...and 1,638 more Authors
all top 5

Cited in 203 Serials

132 Journal of Algebra
125 Journal of Number Theory
90 Advances in Mathematics
87 Duke Mathematical Journal
83 Inventiones Mathematicae
79 Mathematische Annalen
77 Compositio Mathematica
71 Transactions of the American Mathematical Society
70 Journal of Pure and Applied Algebra
63 Mathematische Zeitschrift
48 Annales de l’Institut Fourier
40 Journal de Théorie des Nombres de Bordeaux
38 Manuscripta Mathematica
35 Israel Journal of Mathematics
31 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
30 Journal of the American Mathematical Society
28 Documenta Mathematica
28 Annals of Mathematics. Second Series
27 Journal of Algebraic Geometry
26 Journal für die Reine und Angewandte Mathematik
26 Journal of the Institute of Mathematics of Jussieu
25 Communications in Algebra
24 Algebra & Number Theory
22 Proceedings of the American Mathematical Society
22 International Journal of Number Theory
20 Forum of Mathematics, Sigma
19 Research in Number Theory
18 Selecta Mathematica. New Series
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Mathematics of Computation
16 Publications Mathématiques
16 Transformation Groups
15 Communications in Mathematical Physics
15 Journal of the European Mathematical Society (JEMS)
14 Memoirs of the American Mathematical Society
14 Bulletin des Sciences Mathématiques
14 European Journal of Mathematics
13 Bulletin de la Société Mathématique de France
13 Bulletin of the American Mathematical Society. New Series
12 Michigan Mathematical Journal
11 Journal of the London Mathematical Society. Second Series
11 Nagoya Mathematical Journal
11 Tôhoku Mathematical Journal. Second Series
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Archiv der Mathematik
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Mathematical Notes
9 Proceedings of the Japan Academy. Series A
9 Journal of \(K\)-Theory
8 Journal of Geometry and Physics
8 Functiones et Approximatio. Commentarii Mathematici
8 \(K\)-Theory
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Indagationes Mathematicae. New Series
8 Representation Theory
8 LMS Journal of Computation and Mathematics
7 Bulletin of the London Mathematical Society
7 Pacific Journal of Mathematics
7 Proceedings of the London Mathematical Society. Third Series
7 Experimental Mathematics
7 Finite Fields and their Applications
6 Nuclear Physics. B
6 Mathematische Nachrichten
6 Rendiconti del Seminario Matematico della Università di Padova
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Annales Mathématiques du Québec
5 Acta Arithmetica
5 Journal of Symbolic Computation
5 Forum Mathematicum
5 International Journal of Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Algebras and Representation Theory
5 Acta Mathematica Sinica. English Series
5 Algebraic & Geometric Topology
5 Journal of Noncommutative Geometry
5 Kyoto Journal of Mathematics
5 Journal de l’École Polytechnique – Mathématiques
5 Annales Henri Lebesgue
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Geometriae Dedicata
4 Mathematika
4 Journal of the Ramanujan Mathematical Society
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Journal of Mathematical Sciences (New York)
4 St. Petersburg Mathematical Journal
4 Communications in Contemporary Mathematics
4 Forum of Mathematics, Pi
4 Research in the Mathematical Sciences
3 Rocky Mountain Journal of Mathematics
3 Arkiv för Matematik
3 Acta Mathematica Vietnamica
3 Canadian Journal of Mathematics
3 Canadian Mathematical Bulletin
3 Commentarii Mathematici Helvetici
3 Functional Analysis and its Applications
3 The Journal of Symbolic Logic
3 Osaka Journal of Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Topology and its Applications
...and 103 more Serials
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Cited in 46 Fields

1,499 Algebraic geometry (14-XX)
1,028 Number theory (11-XX)
226 Group theory and generalizations (20-XX)
165 Category theory; homological algebra (18-XX)
139 Associative rings and algebras (16-XX)
123 \(K\)-theory (19-XX)
119 Field theory and polynomials (12-XX)
98 Commutative algebra (13-XX)
85 Nonassociative rings and algebras (17-XX)
73 Several complex variables and analytic spaces (32-XX)
67 Topological groups, Lie groups (22-XX)
59 Algebraic topology (55-XX)
40 Quantum theory (81-XX)
32 Differential geometry (53-XX)
24 Manifolds and cell complexes (57-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Mathematical logic and foundations (03-XX)
20 Global analysis, analysis on manifolds (58-XX)
14 Ordinary differential equations (34-XX)
11 Functional analysis (46-XX)
11 Information and communication theory, circuits (94-XX)
10 Special functions (33-XX)
10 Computer science (68-XX)
9 Difference and functional equations (39-XX)
8 Functions of a complex variable (30-XX)
7 History and biography (01-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Geometry (51-XX)
5 General and overarching topics; collections (00-XX)
4 Convex and discrete geometry (52-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Relativity and gravitational theory (83-XX)
3 Measure and integration (28-XX)
3 Partial differential equations (35-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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