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Serre, Jean-Pierre

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Author ID: serre.jean-pierre Recent zbMATH articles by "Serre, Jean-Pierre"
Published as: Serre, Jean-Pierre; Serre, J.-P.; Serre, Jean Pierre; Serr, Z.-P.
Further Spellings: Серр Жан Пьер
Homepage: http://www.college-de-france.fr/site/jean-pierre-serre/index.htm
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Fields Medal (1954) · Wolf Prize (2000) · Abel Prize (2003)
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 272 Publications since 1949, including 61 Books
18 Contributions as Editor
33 Further Contributions
Biographic References: 15 Publications
all top 5

Co-Authors

213 single-authored
17 Borel, Armand
14 Cartan, Henri
11 Gabriel, Pierre
10 Tate, John Torrence jun.
9 Grothendieck, Alexander
8 Artin, Michael
8 Demazure, Michel
8 Raynaud, Michèle
7 Bertin, Jean-Étienne
6 Bass, Hyman
6 Milnor, John Willard
5 Demazure, M.
5 Dixmier, Jacques
5 Remmert, Reinhold W.
5 Samuel, Pierre
3 Atiyah, Michael Francis
3 Bayer-Fluckiger, Eva
3 Colmez, Pierre
3 Deligne, Pierre René
3 Frobenius, Georg
3 Godement, Roger
3 Hirzebruch, Friedrich
3 Lazard, Michel
3 Mazur, Barry
3 Schwartz, Laurent
3 Thom, René
3 Waldschmidt, Michel
2 Bertrand, Daniel
2 Bruhat, François
2 Cartier, Pierre
2 Cerf, Jean
2 Dieudonné, Jean Alexandre
2 Ehresmann, Charles
2 Eilenberg, Samuel
2 Frenkel, Jean
2 Fröhlich, Albrecht
2 Hochschild, Gerhard Paul
2 Jannsen, Uwe
2 Kleiman, Steven Lawrence
2 Koszul, Jean-Louis
2 Kuyk, Willem
2 Nicolas, Jean-Louis
2 Tits, Jacques
2 Zagier, Don Bernard
1 Aguirre Estibalez, Julián
1 Arthur, James Greig
1 Arvonny, Maurice
1 Bassa, Alp
1 Blanchard, André
1 Bogomolov, Fedor Alekseivich
1 Bombieri, Enrico
1 Braconnier, Jean
1 Brown, Martin L.
1 Bushnell, Colin J.
1 Carleson, Lennart
1 Cassels, J. W. S.
1 Chandrasekharan, Komaravolu
1 Chern, Shiing-Shen
1 Chernousov, Vladimir I.
1 Chevalley, Claude
1 Chowla, Sarvadaman
1 Darmon, Henri René
1 Delsarte, Jean
1 Dolbeault, Pierre
1 Dynkin, Evgeniĭ Borisovich
1 Eisenreich, Günther
1 Ekedahl, Torsten
1 Fröhlich, Andreas M.
1 Garibaldi, Skip
1 Gauthier, Luc
1 Griffiths, Phillip Augustus
1 Gromov, Mikhael Leonidovich
1 Gruenberg, Karl Walter
1 Hasse, Helmut
1 Heilbronn, Hans Arnold
1 Herz, Carl S.
1 Hoechsmann, Klaus
1 Hörmander, Lars Valter
1 Howe, Everett W.
1 Ihara, Yasutaka
1 Iwasawa, Kenkichi
1 Jacobson, Nathan
1 Karoubi, Max
1 Kazhdan, David A.
1 Klein, Felix
1 Krasner, Marc
1 Kwack, Myung H.
1 Labute, John P.
1 Lang, Serge
1 Lauter, Kristin Estella
1 Lax, Peter David
1 Leong, Yu Kiang
1 Leray, Jean
1 Lichnerowicz, Andre
1 Lions, Jacques-Louis
1 Lorenzo García, Elisa
1 Malgrange, Bernard
1 Malyshev, Aleksandr Vasil’evich
1 McNinch, George J.
1 Merkur’ev, Aleksandr Sergeevich
...and 32 more Co-Authors
all top 5

Serials

16 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
15 Lecture Notes in Mathematics
8 Commentarii Mathematici Helvetici
8 Annals of Mathematics. Second Series
7 Comptes Rendus de l’Académie des Sciences. Série I
7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
7 Documents Mathématiques
7 Springer Collected Works in Mathematics
6 Gazette des Mathématiciens
6 Publications Mathématiques
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Graduate Texts in Mathematics
4 American Journal of Mathematics
4 Inventiones Mathematicae
4 Research Notes in Mathematics
4 Springer Monographs in Mathematics
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Bulletin de la Société Mathématique de France
3 Journal of Algebra
3 Topology
3 L’Enseignement Mathématique. 2e Série
3 Astérisque
2 Annales de l’Institut Fourier
2 Proceedings of the American Mathematical Society
2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
2 Notices of the American Mathematical Society
2 Transformation Groups
2 Aspects of Mathematics
2 Colloques Internationaux du Centre National de la Recherche Scientifique
2 Proceedings of Symposia in Pure Mathematics
2 Mathematical Medley
1 Israel Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Acta Scientiarum Mathematicarum
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Indagationes Mathematicae
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics of the USSR. Izvestiya
1 Transactions of the American Mathematical Society
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 La Vie des Sciences
1 Indagationes Mathematicae. New Series
1 Izvestiya: Mathematics
1 The Asian Journal of Mathematics
1 Moscow Mathematical Journal
1 Bulletin of the American Mathematical Society
1 Journal of the London Mathematical Society
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Annals of Mathematics Studies
1 Logik und Grundlagen der Mathematik
1 Mathematical Sciences Research Institute Publications
1 University Lecture Series
1 Journal of \(K\)-Theory
1 Surveys of Modern Mathematics

Publications by Year

Citations contained in zbMATH Open

256 Publications have been cited 10,487 times in 8,217 Documents Cited by Year
Galois properties of points of finite order of elliptic curves. (Propriétés galoisiennes des points d’ordre fini des courbes elliptiques.) Zbl 0235.14012
Serre, Jean-Pierre
470
1972
A course in arithmetic. Zbl 0256.12001
Serre, Jean-Pierre
402
1973
Faisceaux algébriques cohérents. Zbl 0067.16201
Serre, Jean-Pierre
340
1955
Good reduction of abelian varieties. Zbl 0172.46101
Serre, Jean-Pierre; Tate, J.
320
1968
Local fields. (Corps locaux.) Zbl 0137.02601
Serre, Jean-Pierre
304
1962
Linear representations of finite groups. Translated from the French by Leonard L. Scott. Zbl 0355.20006
Serre, Jean-Pierre
263
1977
Groupes algébriques et corps de classes. Zbl 0097.35604
Serre, Jean-Pierre
261
1959
Trees. Transl. from the French by John Stillwell. Zbl 0548.20018
Serre, Jean-Pierre
261
1980
Algebraic number theory. Zbl 0153.07403
246
1967
Homologie singulière des espaces fibrés. Applications. Zbl 0045.26003
Serre, Jean-Pierre
242
1951
Local fields. Translated from the French by Marvin Jay Greenberg. Zbl 0423.12016
Serre, Jean-Pierre
222
1979
Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011
Borel, Armand; Serre, Jean-Pierre
209
1973
Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002
Serre, Jean-Pierre
207
1994
Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901
Borel, Armand; Serre, Jean-Pierre
186
1964
Cohomology of Lie algebras. Zbl 0053.01402
Hochschild, G.; Serre, Jean-Pierre
176
1953
On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\). (Sur les représentations modulaires de degré 2 de \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\).) Zbl 0641.10026
Serre, Jean-Pierre
173
1987
Formes modulaires de poids 1. Zbl 0321.10026
Deligne, Pierre; Serre, Jean-Pierre
168
1974
Algebraic geometry and analytic geometry. (Géométrie algébrique et géométrie analytique.) Zbl 0075.30401
Serre, Jean-Pierre
165
1956
Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011
Serre, Jean-Pierre
164
1981
Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\). Zbl 0174.05203
Bass, H.; Milnor, John W.; Serre, Jean-Pierre
159
1967
Cohomology of group extensions. Zbl 0050.02104
Hochschild, G.; Serre, Jean-Pierre
152
1953
Le problème des groupes de congruence pour \(SL_2\). Zbl 0239.20063
Serre, Jean-Pierre
144
1970
Groupes d’homotopie et classes de groupes abéliens. Zbl 0052.19303
Serre, Jean-Pierre
144
1953
Lie algebras and Lie groups. 1964 lectures given at Harvard University. Zbl 0132.27803
Serre, Jean-Pierre
142
1965
Cohomological invariants in Galois cohomology. Zbl 1159.12311
Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre
114
2003
Un théorème de dualité. Zbl 0067.16101
Serre, Jean-Pierre
110
1955
Sur la dimension cohomologique des groupes profinis. Zbl 0136.27402
Serre, Jean-Pierre
110
1965
Le théorème de Riemann-Roch. Zbl 0091.33004
Borel, Armand; Serre, Jean-Pierre
105
1958
Completely continuous endomorphisms of \(p\)-adic Banach spaces. (Endomorphismes complètement continus des espaces de Banach \(p\)-adiques.) Zbl 0104.33601
Serre, Jean-Pierre
105
1962
A course in arithmetic. (Cours d’arithmétique.) Zbl 0225.12002
Serre, Jean-Pierre
104
1970
Algèbre locale, multiplicités. Zbl 0091.03701
Serre, Jean-Pierre
102
1960
Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001
Serre, Jean-Pierre
101
1992
Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed. Zbl 0142.28603
Serre, Jean-Pierre
99
1965
Algèbres de Lie semi-simples complexes. Zbl 0144.02105
Serre, Jean-Pierre
95
1966
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
94
1970
Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032
Serre, Jean-Pierre
93
1997
Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001
Serre, Jean-Pierre
93
2003
Arbres, amalgames, \(\mathrm{SL}_2\). Rédigé avec la collaboration de Hyman Bass. Zbl 0369.20013
Serre, Jean-Pierre
91
1977
Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504
Serre, Jean-Pierre
89
2004
Abelian \(\ell\)-adic representations and elliptic curves. Written with the collaboration of Willem Kuyk and John Labute. Zbl 0186.25701
Serre, Jean-Pierre
88
1968
The Witt invariant of the form \(\text{Tr}(x^ 2)\). (L’invariant de Witt de la forme \(\text{Tr}(x^ 2)\).) Zbl 0565.12014
Serre, Jean-Pierre
76
1984
Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015
Serre, Jean-Pierre
75
1983
Cohomologie modulo 2 des complexes d’Eilenberg-MacLane. Zbl 0052.19501
Serre, Jean-Pierre
74
1953
Cohomologie des groupes discrets. Zbl 0229.57016
Serre, Jean-Pierre
65
1971
Corps locaux et isogénies. Zbl 0137.02501
Serre, Jean-Pierre
65
1959
Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603
Borel, Armand; Serre, Jean-Pierre
63
1953
Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055
Borel, Armand; Serre, Jean-Pierre
58
1976
Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004
Serre, Jean-Pierre
58
1997
Abelian \(l\)-adic representations and elliptic curves. Zbl 0902.14016
Serre, Jean-Pierre
56
1998
Subgroups of finite index in \(\mathrm{SL}(n,\mathbb Z)\). (Sous-groupes d’indice fini dans \(\mathrm{SL}(n,\mathbb Z)\).) Zbl 0232.20086
Bass, H.; Lazard, M.; Serre, Jean-Pierre
54
1964
Divisibilite de certaines fonctions arithmétiques. Zbl 0355.10021
Serre, Jean-Pierre
52
1976
Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001
Serre, Jean-Pierre
52
1988
Cohomologie galoisienne. Cours au Collège de France, 1962–1963. 3ième éd. Zbl 0136.02801
Serre, Jean-Pierre
52
1965
Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003
Serre, Jean-Pierre
51
2002
Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008
Serre, Jean-Pierre
50
1992
Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002
Serre, Jean-Pierre
47
1994
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005
Serre, Jean-Pierre
47
1989
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
47
1970
Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015
Serre, Jean-Pierre
47
1985
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
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
45
1957
On a theorem of Jordan. Zbl 1047.11045
Serre, Jean-Pierre
45
2003
Groupes de Grothendieck des schemas en groupes reductifs deployes. Zbl 0195.50802
Serre, Jean-Pierre
41
1968
Prolongement de faisceaux analytiques cohérents. Zbl 0144.08003
Serre, Jean-Pierre
40
1966
Sur la topologie des variétés algébriques en caractéristique \(p\). Zbl 0098.13103
Serre, Jean-Pierre
38
1958
\(p\)-adic modular forms and \(p\)-adic zeta functions. (Formes modulaires et fonctions zêta \(p\)-adiques.) Zbl 0277.12014
Serre, Jean-Pierre
37
1973
Cohomologie galoisienne. Cours au Collège de France, 1962–1963. Seconde édition. Zbl 0128.26303
Serre, Jean-Pierre
37
1964
Modules projectifs et espaces fibrés à fibre vectorielle. Zbl 0132.41202
Serre, Jean-Pierre
36
1958
Cours d’arithmétique. 2me ed. Zbl 0376.12001
Serre, Jean-Pierre
35
1977
Représentations linéaires des groupes finis. 2e éd., refondue. (Linear representations of finite groups. 2nd ed., revised). Zbl 0223.20003
Serre, Jean-Pierre
34
1971
Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed. Zbl 0259.12011
Serre, Jean-Pierre
34
1973
On the fundamental group of a unirational variety. Zbl 0097.36301
Serre, Jean-Pierre
34
1959
Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017
Waldschmidt, Michel
33
1979
Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002
Serre, Jean-Pierre
33
1989
Représentations linéaires des groupes finis. 3e ed. corr. Zbl 0407.20003
Serre, Jean-Pierre
32
1978
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013
Serre, Jean-Pierre
32
1997
Groupes finis d’automorphismes d’anneaux locaux réguliers. Zbl 0200.00002
Serre, Jean-Pierre
32
1968
Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010
Serre, Jean-Pierre
31
2000
Sur l’algébricité des représentations l-adiques. Zbl 0457.14020
Bogomolov, Fedor Alekseivich
31
1980
Cohomologie des groupes discrets. Zbl 0273.57022
Serre, Jean-Pierre
30
1971
Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902
Borel, Armand; Serre, Jean-Pierre
29
1953
On the semisimplicity of tensor products of representations of groups. (Sur la semi-simplicité des produits tensoriels de représentations de groupes.) Zbl 0816.20014
Serre, Jean-Pierre
28
1994
Quelques problèmes globaux rélatifs aux variétés de Stein. Zbl 0053.05302
Serre, Jean-Pierre
28
1953
Modular forms of weight one and Galois representations. (Prepared in collaboration with C. J. Bushnell.). Zbl 0366.10022
Serre, Jean-Pierre
27
1977
Optimal \(\text{SL}(2)\)-homomorphisms. Zbl 1097.20040
McNinch, George J.
27
2005
Cohomologie des groupes discrets. (Cohomology of discrete groups). Zbl 0235.22020
Serre, Jean-Pierre
27
1971
Lectures on \(N_X(p)\). Zbl 1238.11001
Serre, Jean-Pierre
26
2012
Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003
Serre, Jean-Pierre
26
1995
Représentations linéaires des groupes finis. I: Représentations et caractères. II: Complements. III: Introduction à la théorie de Brauer. Zbl 0189.02603
Serre, Jean-Pierre
26
1967
Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups. (Exemples de plongements des groupes \(\text{PSL}_ 2(F_ p)\) dans des groupes de Lie simples.) Zbl 0877.20033
Serre, Jean-Pierre
25
1996
Sur les corps locaux à corps residuel algébriquement clos. Zbl 0166.31103
Serre, Jean-Pierre
25
1961
Groupes proalgébriques. Zbl 0097.35901
Serre, Jean-Pierre
25
1961
Divisibilite des coefficients des formes modulaires de poids entier. Zbl 0304.10017
Serre, Jean-Pierre
24
1974
Complete reducibility. (Complète réductibilité.) Zbl 1156.20313
Serre, Jean-Pierre
23
2005
Valeurs propres des opérateurs de Hecke modulo \(\ell\). Zbl 0305.10021
Serre, Jean-Pierre
23
1975
Conducteurs d’Artin des caracteres reels. (Artin conductors of real characters). Zbl 0229.13006
Serre, Jean-Pierre
22
1971
Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné). Zbl 0870.11030
Serre, Jean-Pierre
22
1996
Un théorème de finitude concernant les variétés analytiques compactes. Zbl 0050.17701
Cartan, Henri; Serre, Jean-Pierre
22
1953
Quelques propriétés des variétés abéliennes en caractéristique \(p\). Zbl 0099.16201
Serre, Jean-Pierre
22
1958
Examples de variétés projectives conjuguees non homeomorphes. Zbl 0117.38003
Serre, Jean-Pierre
22
1964
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002
Serre, Jean-Pierre
1
2020
On the mod \(p\) reduction of orthogonal representations. Zbl 1455.20009
Serre, Jean-Pierre
1
2018
Finite groups. An introduction. Zbl 1347.20014
Serre, Jean-Pierre
3
2016
Correspondence Serre – Tate. Volume II. (Correspondance Serre – Tate. Volume II.) Zbl 1326.11002
2
2015
Autodual normal bases and unitary groups of characteristic 2. (Bases normales autoduales et groupes unitaires en caractéristique 2.) Zbl 1321.11044
Serre, Jean-Pierre
4
2014
A criterion for independence of a family of \(\ell\)-adic representations. (Un critère d’indépendance pour une famille de représentations \(\ell\)-adiques.) Zbl 1317.14040
Serre, Jean-Pierre
8
2013
Hasse principle for \(G\)-trace forms. Zbl 1368.11030
Bayer-Fluckiger, E.; Parimala, R.; Serre, J.-P.
2
2013
Œuvres. Collected papers. Vol. I: 1949–1959, Vol. II: 1960–1971, Vol. III: 1972–1984, Vol. IV: 1985–1998. Paperback reprint of the 2003 edition. Zbl 1278.01034
Serre, Jean-Pierre
2
2013
Lectures on \(N_X(p)\). Zbl 1238.11001
Serre, Jean-Pierre
26
2012
The nilpotence order of the mod 2 Hecke operators. (Formes modulaires modulo 2 : l’ordre de nilpotence des opérateurs de Hecke.) Zbl 1275.11073
Nicolas, Jean-Louis; Serre, Jean-Pierre
18
2012
Modular forms mod 2: structure of the Hecke ring. (Formes modulaires modulo 2 : structure de l’algèbre de Hecke.) Zbl 1275.11074
Nicolas, Jean-Louis; Serre, Jean-Pierre
10
2012
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
The Cremona group and its finite subgroups. (Le groupe de Cremona et ses sous-groupes finis.) Zbl 1257.14012
Serre, Jean-Pierre
20
2010
A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field. Zbl 1203.14017
Serre, Jean-Pierre
16
2009
How to use finite fields for problems concerning infinite fields. Zbl 1199.14007
Serre, Jean-Pierre
10
2009
A complement to the note by Lassina Dembélé “A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only”. (Un complément à la note de Lassina Dembélé.) Zbl 1167.11041
Serre, Jean-Pierre
2
2009
The trace problem for totally positive algebraic integers. With an appendix by Jean-Pierre Serre. Zbl 1266.11113
Aguirre, Julián; Peral, Juan Carlos
17
2008
Three letters to Walter Feit on group representations and quaternions. Zbl 1140.20006
Serre, Jean-Pierre
7
2008
Two letters to Jaap Top. Zbl 1151.14322
Serre, Jean-Pierre
1
2008
Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. Zbl 1128.12001
Serre, Jean-Pierre
13
2007
Bounds for the orders of the finite subgroups of \(G(k)\). Zbl 1160.20043
Serre, Jean-Pierre
13
2007
Lower bounds for essential dimensions via orthogonal representations. Zbl 1181.20042
Chernousov, Vladimir; Serre, Jean-Pierre
13
2006
The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014
Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre
11
2006
Optimal \(\text{SL}(2)\)-homomorphisms. Zbl 1097.20040
McNinch, George J.
27
2005
Complete reducibility. (Complète réductibilité.) Zbl 1156.20313
Serre, Jean-Pierre
23
2005
Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504
Serre, Jean-Pierre
89
2004
Cohomological invariants in Galois cohomology. Zbl 1159.12311
Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre
114
2003
Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001
Serre, Jean-Pierre
93
2003
On a theorem of Jordan. Zbl 1047.11045
Serre, Jean-Pierre
45
2003
Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003
Serre, Jean-Pierre
51
2002
The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038
Lauter, Kristin; Serre, Jean-Pierre
15
2002
History of the ‘modularity conjecture’. (L’histoire de la ‘modularity conjecture’.) Zbl 1051.11501
Serre, J.-P.
1
2002
Complex semisimple Lie algebras. Translated from the French by G. A. Jones. Reprint of the 1987 ed. Zbl 1058.17005
Serre, Jean-Pierre
12
2001
Correspondence Grothendieck-Serre. (Correspondance Grothendieck-Serre.) Zbl 0986.01019
12
2001
Exposés de séminaires. 1950–1999. (Exposes of seminars. 1950–1999). Reprints. (Exposés de séminaires. 1950–1999.) Zbl 1005.01012
Serre, Jean Pierre
3
2001
Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010
Serre, Jean-Pierre
31
2000
Œuvres. Collected papers. Vol. IV: 1985–1998. Zbl 0933.01034
Serre, Jean-Pierre
9
2000
Finite subgroups of Lie groups. (Sous-groupes finis des groupes de Lie.) Zbl 0968.20025
Serre, Jean-Pierre
6
2000
Abelian \(l\)-adic representations and elliptic curves. Zbl 0902.14016
Serre, Jean-Pierre
56
1998
Représentations linéaires des groupes finis. (Linear representations of finite groups). 5ième éd., corr. et augm. de nouveaux exercices. 5ième éd., corr. et augm. de nouveaux exercices. (Représentations linéaires des groupes finis.) Zbl 0926.20003
Serre, Jean-Pierre
7
1998
The Euler-Poincaré distribution of a profinite group. (La distribution d’Euler-Poincaré d’un groupe profini.) Zbl 0943.20024
Serre, Jean-Pierre
3
1998
Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032
Serre, Jean-Pierre
93
1997
Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004
Serre, Jean-Pierre
58
1997
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013
Serre, Jean-Pierre
32
1997
Semisimplicity and tensor products of group representations: Converse theorems. (With an appendix by Walter Feit). Zbl 0896.20004
Serre, Jean-Pierre
10
1997
Two letters on the non-Abelian cohomology. (Deux lettres sur la cohomologie non abélienne.) Zbl 0886.20035
Serre, Jean-Pierre
1
1997
Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups. (Exemples de plongements des groupes \(\text{PSL}_ 2(F_ p)\) dans des groupes de Lie simples.) Zbl 0877.20033
Serre, Jean-Pierre
25
1996
Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné). Zbl 0870.11030
Serre, Jean-Pierre
22
1996
The works of Wiles (and Taylor,\(\dots\)). I. (Travaux de Wiles (et Taylor,\(\dots\)). I.) Zbl 0957.11027
Serre, Jean-Pierre
4
1996
Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003
Serre, Jean-Pierre
26
1995
Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002
Serre, Jean-Pierre
207
1994
Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002
Serre, Jean-Pierre
47
1994
On the semisimplicity of tensor products of representations of groups. (Sur la semi-simplicité des produits tensoriels de représentations de groupes.) Zbl 0816.20014
Serre, Jean-Pierre
28
1994
Quadratic torsions and selfdual normal bases. (Torsions quadratiques et bases normales autoduales.) Zbl 0804.12004
Bayer-Fluckiger, Eva; Serre, Jean-Pierre
13
1994
Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Zbl 0788.00054
1
1994
Examples of algebraic curves with totally split Jacobian. (Exemples de courbes algébriques à jacobienne complètement décomposable.) Zbl 0789.14026
Ekedahl, Torsten; Serre, Jean-Pierre
15
1993
Gebras. (Gèbres.) Zbl 0810.16039
Serre, Jean-Pierre
5
1993
Smith, Minkowski and the Academy of Sciences. (Smith, Minkowski et l’Académie des Sciences.) Zbl 0785.01009
Serre, Jean-Pierre
2
1993
Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001
Serre, Jean-Pierre
101
1992
Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008
Serre, Jean-Pierre
50
1992
Coverings of algebraic curves. (Revêtements de courbes algébriques.) Zbl 0798.14014
Serre, Jean-Pierre
2
1992
Letter to M. Tsfasman. (Lettre à M. Tsfasman.) Zbl 0758.14008
Serre, Jean-Pierre
15
1991
Motives. - Appendix: Some texts by Grothendieck on motives. (Motifs. - Annexe: Quelques textes de Grothendieck sur les motifs.) Zbl 0759.14002
Serre, Jean-Pierre
1
1991
Construction de revêtements étales de la droite affine en caractéristique p. (Construction of étale coverings of the affine line in characteristic p). Zbl 0726.14021
Serre, Jean-Pierre
19
1990
Coverings with odd ramification and theta-characteristics. (Revêtements à ramification impaire et thêta-caractéristiques.) Zbl 0742.14030
Serre, Jean-Pierre
9
1990
Spécialisation des éléments de \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n))\). (Specialization of elements of \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n)))\). Zbl 0711.13002
Serre, Jean-Pierre
5
1990
Relèvements dans \({\mathfrak A}\tilde {\;}\). (\({\mathfrak A}\tilde {\;}\)- liftings). Zbl 0714.20003
Serre, Jean-Pierre
4
1990
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005
Serre, Jean-Pierre
47
1989
Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002
Serre, Jean-Pierre
33
1989
Algèbre locale. Multiplicités. (Local algebra. Multiplicities). Cours au Collège de France, 1957-1958. Rédigé par Pierre Gabriel. Troisième éd., 2nd corrected printing. Zbl 0661.13008
Serre, Jean-Pierre
3
1989
Rapport au comité Fields sur les travaux de A. Grothendieck. (Report to the Fields Committee concerning the work of A. Grothendieck). Zbl 0683.01014
Serre, Jean-Pierre
1
1989
Lectures on the icosahedron and the solution of equations of order 5. (Lektsii ob ikosaehdre i reshenii uravnenij pyatoj stepeni). Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol’d, J.-P. Serre and A. N. Tyurin. (Lektsii ob ikosaehdre i reshenii uravnenij pyatoj stepeni.) Zbl 0691.51001
Klein, F.
1
1989
Galois groups over \({\mathbb{Q}}\). Proceedings of a workshop held at the Mathematical Sciences Research Institute, Berkeley, CA (USA), March 23- 27, 1987. Zbl 0684.00005
1
1989
Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001
Serre, Jean-Pierre
52
1988
Groupes de Galois sur \({\mathbb{Q}}\). (Galois groups over \({\mathbb{Q}})\). Zbl 0684.12009
Serre, Jean-Pierre
2
1988
On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\). (Sur les représentations modulaires de degré 2 de \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\).) Zbl 0641.10026
Serre, Jean-Pierre
173
1987
Complex semisimple Lie algebras. Transl. from the French by G. A. Jones. Zbl 0628.17003
Serre, Jean-Pierre
13
1987
A relation in the cohomology of \(p\)-groups. (Une relation dans la cohomologie des \(p\)-groupes.) Zbl 0626.20041
Serre, Jean-Pierre
8
1987
Nombres transcendants et groupes algébriques. (Transcendental numbers and algebraic groups). Complété par deux appendices de Daniel Bertrand et Jean-Pierre Serre. 2e éd. Zbl 0621.10022
Waldschmidt, Michel
3
1987
Letter to J.-F. Mestre. (Lettre à J.-F. Mestre.) Zbl 0629.14016
Serre, Jean-Pierre
2
1987
Œuvres. Collected papers. Vol. I: 1949-1959, Vol. II: 1960-1971, Vol. III: 1972-1984. Zbl 0849.01049
Serre, Jean-Pierre
2
1986
Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015
Serre, Jean-Pierre
47
1985
\(\Delta\) \(=b^ 2-4ac\). Zbl 0596.12004
Serre, Jean-Pierre
1
1985
The Witt invariant of the form \(\text{Tr}(x^ 2)\). (L’invariant de Witt de la forme \(\text{Tr}(x^ 2)\).) Zbl 0565.12014
Serre, Jean-Pierre
76
1984
Groupes algébriques et corps de classes. (Algebraic groups and class fields). \(2^{i\grave eme}\) éd., rev. \(+\) corr. (Nouv. tirage). Zbl 0718.14001
Serre, Jean-Pierre
8
1984
Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015
Serre, Jean-Pierre
75
1983
Nombres de points des courbes algébriques sur \(F_ q\). Zbl 0538.14016
Serre, Jean-Pierre
4
1983
Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011
Serre, Jean-Pierre
164
1981
Trees. Transl. from the French by John Stillwell. Zbl 0548.20018
Serre, Jean-Pierre
261
1980
Sur l’algébricité des représentations l-adiques. Zbl 0457.14020
Bogomolov, Fedor Alekseivich
31
1980
Local fields. 3rd corr. ed. (Corps locaux. \(3^e\) éd., corr.) Zbl 0423.12017
Serre, Jean-Pierre
12
1980
Extensions icosaedriques. Zbl 0474.12011
Serre, Jean-Pierre
2
1980
Local fields. Translated from the French by Marvin Jay Greenberg. Zbl 0423.12016
Serre, Jean-Pierre
222
1979
Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017
Waldschmidt, Michel
33
1979
Groupes algébriques associes aux modules de Hodge-Tate. Zbl 0446.20028
Serre, Jean-Pierre
18
1979
Arithmetic groups. Zbl 0432.20042
Serre, Jean-Pierre
6
1979
Œuvres. Collected works. Vols. I, II, III. Ed. by R. Remmert and J.-P. Serre. Zbl 0431.01013
Cartan, Henri
3
1979
Points rationnels des courbes modulaires X//0(N). Zbl 0411.14005
Serre, Jean-Pierre
2
1979
Un exemple de série de Poincaré non rationnelle. Zbl 0427.55005
Serre, Jean-Pierre
2
1979
...and 156 more Documents
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Cited by 6,611 Authors

41 Zarkhin, Yuriĭ Gennad’evich
35 Ash, Avner
28 Lubotzky, Alexander
27 Zalesskii, Pavel
24 Mazur, Barry
24 Serre, Jean-Pierre
23 Gross, Benedict Hyman
22 Mason, Alexander W.
22 Ono, Ken
20 Colliot-Thélène, Jean-Louis
20 Dieulefait, Luis Victor
20 Grunewald, Fritz J.
20 Merkur’ev, Aleksandr Sergeevich
18 Borel, Armand
16 Gunnells, Paul E.
16 Guralnick, Robert Michael
16 Hida, Haruzo
16 Kahn, Bruno
15 Kato, Kazuya
15 Kono, Akira
15 Rapinchuk, Andrei S.
15 Schacher, Murray M.
15 Schwermer, Joachim
15 Taylor, Richard Lawrence
14 Gee, Toby
14 Silverman, Joseph Hillel
14 Swan, Richard Gordon
14 Taylor, Martin J.
13 Clark, Peter Louis
13 Harris, Michael Howard
13 Khare, Chandrashekhar
13 Murty, Maruti Ram
13 Parimala, Raman
13 Ribet, Kenneth Alan
13 Tamagawa, Akio
13 Vaserstein, Leonid N.
13 Vavilov, Nikolaĭ Aleksandrovich
13 Virdol, Cristian
13 Zannier, Umberto M.
12 Baek, Sanghoon
12 Cassou-Noguès, Philippe
12 Chen, Imin
12 Dokchitser, Vladimir
12 Harder, Günter
12 Larsen, Michael Jeffrey
12 Murty, Vijaya Kumar
12 Rapinchuk, Igor A.
12 Reichstein, Zinovy B.
12 Sperber, Steven I.
11 Adolphson, Alan
11 Bass, Hyman
11 Buium, Alexandru
11 Chinburg, Ted
11 Dokchitser, Tim
11 Gras, Georges
11 Harbater, David
11 Heim, Bernhard Ernst
11 Jarden, Moshe
11 Kang, Ming-Chang
11 Katz, Nicholas Michael
11 Kucharz, Wojciech
11 McConnell, Mark
11 Oort, Frans
11 Popov, Vladimir Leonidovich
11 Ritter, Jürgen
11 Rubin, Karl Cooper
11 Schröer, Stefan
11 Vila, Núria
11 Wan, Daqing
10 Andreotti, Aldo
10 Brumer, Armand
10 Doud, Darrin
10 Dutta, Sankar Prasad
10 Fein, Burton
10 Kraus, Alain
10 Lozano-Robledo, Álvaro
10 Najman, Filip
10 Neuhauser, Markus
10 Papikian, Mihran
10 Pink, Richard
10 Rahm, Alexander Daniel
10 Sarnak, Peter Clive
10 Schneider, Peter
10 Silverberg, Alice
10 Sonn, Jack
10 Stichtenoth, Henning
10 Stuhler, Ulrich
10 Taguchi, Yuichiro
10 Yamauchi, Takuya
9 Bayer-Fluckiger, Eva
9 Biswas, Indranil
9 Böckle, Gebhard
9 Brussel, Eric S.
9 Calegari, Frank
9 Chernousov, Vladimir I.
9 Cojocaru, Alina Carmen
9 Emerton, Matthew
9 Fité, Francesc
9 Freitas, Nuno
9 Ji, Lizhen
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366 Journal of Number Theory
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157 Journal de Théorie des Nombres de Bordeaux
147 Advances in Mathematics
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127 Israel Journal of Mathematics
123 Communications in Algebra
111 Manuscripta Mathematica
93 Bulletin of the American Mathematical Society. New Series
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82 Archiv der Mathematik
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56 Tohoku Mathematical Journal. Second Series
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52 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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34 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
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