Publications

School of Mathematics: 

Congruences sur le nombre de sous-groupes d’ordre \(p^k\) dans un groupe fini

Author: 
Pierre Deligne
Last Name: 
Deligne
Type: 
article
Journal: 

Bulletin de la Société Mathématique de Belgique

Volume: 
XVIII 2
Year: 
1966
Pages: 
pp. 129–132
Publication Type: 
Publications
School of Mathematics: 

La conjecture de Weil II

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Number40.pdf6.07 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
42
Year: 
1980
Pages: 
pp. 137-252
Publication Type: 
Publications
School of Mathematics: 

Structures de Hodge mixtes réelles

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Number47.pdf2.61 MB
Type: 
article
Journal: 

in: Motives. Proceedings of Symposia in Pure Mathematics (AMS)

Volume: 
55 t1
Year: 
1994
Pages: 
pp. 509–514
Publication Type: 
Publications
School of Mathematics: 

Cohomologie à support propre et construction du foncteur \(f^!\) Appendice au livre de Hartshorne: Residues and duality

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 2_CohomologieFoncteur.pdf728.32 KB
Type: 
article
Journal: 

Lecture Notes in Math

Volume: 
20
Year: 
1966
Pages: 
pp. 404–421
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Groupes fondamentaux motiviques de Tate mixte

Author: 
Pierre Deligne
A. B. Goncharov
Last Name: 
Deligne
Type: 
article
Journal: 

Annales Scientifiques de l’École Normale Supérieure

Volume: 
38 1
Year: 
2005
Pages: 
pp. 1–56
Publication Type: 
Publications
School of Mathematics: 

The Hodge conjecture

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon hodge.pdf143.45 KB
Type: 
article
Journal: 

in The Millennium Prize Problems

Year: 
2006
Pages: 
pp. 45–53
Publication Type: 
Publications
Publisher: 
Clay Math. Institute
School of Mathematics: 

Hodge cycles, motives and Shimura varieties

Author: 
Pierre Deligne
J.S. Milne
A. Ogus
K.Y. Shih
Last Name: 
Deligne
AttachmentSize
PDF icon Number45.pdf13.42 MB
Type: 
article
Journal: 

Lecture Notes in Mathematics

Volume: 
900
Year: 
1982
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

La sèrie exceptionnelle de groupes de Lie II.

Author: 
Pierre Deligne
R. de Man
AttachmentSize
PDF icon 76_LaSerie.pdf235.12 KB
Type: 
article
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
t. 323 6
Year: 
1996
Pages: 
pp. 577–582
Publication Type: 
Publications
School of Mathematics: 

The first fundamental theorem of invariant theory for the orthosymplectic super group

Author: 
Pierre Deligne
Gustav Lehrer
Ruibin Zhang
Last Name: 
Deligne
AttachmentSize
PDF icon 2015-06-ortho.pdf436.89 KB
Type: 
article
Journal: 

preprint

Year: 
2017
Publication Type: 
Publications
School of Mathematics: 

Théorème de Lefschetz et critère de dégénérescence de suites spectrales

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number3.pdf1.77 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
35
Year: 
1968
Pages: 
pp. 107–126
Publication Type: 
Publications
School of Mathematics: 

Formes modulaires et représentations \(\ell\)-adiques

Author: 
Pierre Deligne
AttachmentSize
PDF icon 5_FormesModulaires.pdf215.25 KB
Type: 
article
Journal: 

Séminaire Bourbaki 355 (février 1969); Lecture Notes in Mathematics

Volume: 
179
Year: 
1971
Pages: 
pp. 139–172
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs

Author: 
Pierre Deligne
A.A. Beilinson
AttachmentSize
PDF icon 69_InterpretationMot.pdf900.44 KB
Type: 
article
Journal: 

in: Motives. Proceedings of Symposia in Pure Mathematics

Volume: 
55 t2
Year: 
1994
Pages: 
pp. 97–121
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

La série exceptionnelle de groupes de Lie

Author: 
Pierre Deligne
AttachmentSize
PDF icon 75_LaSerie.pdf215.4 KB
Type: 
article
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
t. 322
Year: 
1996
Pages: 
pp. 321–326
Publication Type: 
Publications
School of Mathematics: 

Valeurs de fonctions \(L\) et périodes d’intégrales

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 33_Valeursde.pdf1.31 MB
Type: 
article
Journal: 

Proceedings of Symposia in Pure Mathematics (AMS)

Volume: 
33 t. 2
Year: 
1979
Pages: 
pp. 313–346
Publication Type: 
Publications
School of Mathematics: 

Intégration sur une cycle évanescent

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number49.pdf739.3 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
76
Year: 
1983
Pages: 
pp. 129–143
Publication Type: 
Publications
School of Mathematics: 

Le groupe fondamental du complément d’une courbe plane n'ayant que des points doubles ordinaires est abélien (d’après W. Fulton)

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number39.pdf530.55 KB
Type: 
article
Journal: 

Séminaire Bourbaki 543 (novembre 1979); Lecture Notes in Mathematics

Volume: 
842
Year: 
1981
Pages: 
pp. 1–10
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Variétés abéliennes ordinaires sur un corps fini

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number6.pdf266.13 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
8
Year: 
1969
Pages: 
pp. 238–243
Publication Type: 
Publications
School of Mathematics: 

La catégorie des représentations du groupe symétrique \(S_t\), lorsque \(t\) n'est pas un entier naturel

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Symetrique.pdf548.23 KB
Type: 
article
Journal: 

Algebraic Groups and Homogeneous Spaces, Mumbai 2004

Year: 
2007
Pages: 
pp. 209–273
Publication Type: 
Publications
Publisher: 
TIFR
School of Mathematics: 

Le groupe fondamental motivique de \({\mathbb{G}}_{m} − \mu N\) pour \( N = 2,3,4,6\) ou \(8\)

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 121108Fondamental.pdf338.61 KB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
112
Year: 
2010
Pages: 
pp. 101-141
Publication Type: 
Publications
School of Mathematics: 

The irreducibility of the space of curves of a given genus

Author: 
Pierre Deligne
D. Mumford
AttachmentSize
PDF icon Number7.pdf1.82 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
36
Year: 
1969
Pages: 
pp. 75–109
Publication Type: 
Publications
School of Mathematics: 

appendix to: A. Neeman. A counterexample to a 1961 “theorem” in homological algebra.

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon counterexample.pdf181.95 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
148 2
Year: 
2002
Pages: 
pp. 397–420
Publication Type: 
Publications
School of Mathematics: 

Le support du caractère d’une représentation supercuspidale

Author: 
Pierre Deligne
AttachmentSize
PDF icon 31_LeSupport.pdf122.12 KB
Type: 
article
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
283
Year: 
1976
Pages: 
pp. 155–157
Publication Type: 
Publications
School of Mathematics: 

Travaux de Griffiths

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Number8.pdf2.45 MB
Type: 
article
Journal: 

Séminaire Bourbaki 376 (juin 1970); Lecture Notes in Mathematics

Volume: 
180
Year: 
1971
Pages: 
pp. 213–237
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Values of abelian L-functions at negative integers over totally real fields

Author: 
Pierre Deligne
K. Ribet
AttachmentSize
PDF icon Number42.pdf4.99 MB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
59
Year: 
1980
Pages: 
pp. 227–286
Publication Type: 
Publications
School of Mathematics: 

Equations différentielles à points singuliers réguliers

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Number9.pdf4.22 MB
PDF icon Erratum to SLN 163.pdf238.61 KB
Type: 
article
Journal: 

Lecture Notes in Math

Volume: 
163
Year: 
1970
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Le théorème de plongement de Nagata

Author: 
Pierre Deligne
Last Name: 
Deligne
Type: 
article
Journal: 

Kyoto Journal of Mathematics

Volume: 
50 (4)
Year: 
2010
Pages: 
(volume dedicated to M. Nagata) pp. 661–670
Publication Type: 
Publications
School of Mathematics: 

Représentations des groupes réductifs sur un corps local

Author: 
Pierre Deligne
J.N. Bernstein
D. Kazhdan
M.F. Vigneras
Type: 
article
Journal: 

Travaux en cours, Hermann, Paris

Year: 
1984
Publication Type: 
Publications
School of Mathematics: 

Travaux de Shimura

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number10.pdf4.08 MB
Type: 
article
Journal: 

Séminaire Bourbaki 389 (février 1971); Lecture Notes in Mathematics

Volume: 
244
Year: 
1971
Pages: 
pp. 123–165.
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Variétés de Shimura: interprétation modulaire et techniques de construction de modèles canoniques

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 34_VarietesdeShimura.pdf2.61 MB
Type: 
article
Journal: 

Proceedings of Symposia in Pure Mathematics (AMS)

Volume: 
33 t. 2
Year: 
1979
Pages: 
pp. 247–289
Publication Type: 
Publications
School of Mathematics: 

Une congruence entre coefficients multinomiaux

Author: 
Pierre Deligne
Last Name: 
Deligne
Type: 
article
Journal: 

Mathematica & Paedagogia

Volume: 
46
Year: 
1972
Pages: 
34–37
Publication Type: 
Publications
School of Mathematics: 

Voevodsky’s lectures on motivic cohomology 2000/2001

Author: 
Pierre Deligne
Last Name: 
Deligne
Type: 
article
Journal: 

Algebraic Topology, pp 355-409, Abel Symposium

Volume: 
4
Year: 
2009
Publication Type: 
Publications
Publisher: 
Springer
School of Mathematics: 

Le lemme de Gabber; Représentations \(\ell\)-adiques

Author: 
Pierre Deligne
AttachmentSize
PDF icon 54_LeLemmeDe.pdf653.91 KB
Type: 
article
Abstract: 

dans le séminaire Szpiro sur les pinceaux arithétiques et la conjecture de Mordell

Journal: 

Astérisque

Volume: 
127
Year: 
1985
Pages: 
pp. 131-150 et pp. 249-255
Publication Type: 
Publications
School of Mathematics: 

Les difféomorphismes du cercle (d’après M. Herman).

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number30.pdf736.2 KB
Type: 
article
Journal: 

Séminaire Bourbaki 477 (février 1976); Lecture Notes in Mathematics

Volume: 
567
Year: 
1977
Pages: 
pp. 99–121
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

SGA7 t. II. Groupes de monodromie en géométrie algébrique

Author: 
Pierre Deligne
N. Katz
AttachmentSize
PDF icon Number12.pdf12 MB
Type: 
article
Journal: 

Lecture Notes in Mathematics

Volume: 
340
Year: 
1973
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Théorie de Hodge I

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Theorie-de-Hodge-I.pdf1.07 MB
Type: 
article
Journal: 

Actes du congrès international des mathématiciens, Nice 1970

Year: 
1971
Pages: 
t. I pp. 425–430
Publication Type: 
Publications
Publisher: 
Gauthier-Villars
School of Mathematics: 

Trace Paley-Wiener theorem for reductive p-adic groups

Author: 
Pierre Deligne
J. Bernstein
D. Kazhdan
AttachmentSize
PDF icon Number55.pdf612.94 KB
Type: 
article
Journal: 

Journal d’Analyse Mathématique

Volume: 
47
Year: 
1986
Pages: 
pp. 180–192
Publication Type: 
Publications
School of Mathematics: 

Local behavior of Hodge structures at infinity

Author: 
Pierre Deligne
AttachmentSize
PDF icon 71_Localbehavior.pdf479.28 KB
Type: 
article
Journal: 

in Mirror Symmetry II

Year: 
1997
Pages: 
pp. 683–699
Publication Type: 
Publications
Publisher: 
ed. B. Greene and S. T. Yau, AMS and International Press,
School of Mathematics: 

Un théorème de finitude pour la monodromie

Author: 
Pierre Deligne
AttachmentSize
PDF icon 56_Untheoremede.pdf5.49 MB
Type: 
article
Journal: 

in discrete groups in geometry and analysis, pp. 1–19; Progress in Mathematics

Volume: 
67
Year: 
1987
Pages: 
Publication Type: 
Publications
Publisher: 
Birkhäuser
School of Mathematics: 

Variétés unirationnelles non rationnelles

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number14.pdf327.47 KB
Type: 
article
Journal: 

Séminaire Bourbaki 402 (novembre 1971); Lecture Notes in Mathematics

Volume: 
317
Year: 
1973
Pages: 
pp. 45–57
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

L’algèbre de cohomologie du complèment, dans un espace affine, d’une famille finie de sous-espaces affines

Author: 
Pierre Deligne
M. Goresky
R. MacPherson
Last Name: 
Deligne
AttachmentSize
PDF icon l'algebre de cohomologie.pdf112.11 KB
Type: 
article
Journal: 

Michigan Mathematical Journal

Volume: 
48
Year: 
2000
Pages: 
pp. 121–136
Publication Type: 
Publications
School of Mathematics: 

Théorie de Hodge II

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number15.pdf4.54 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
40
Year: 
1971
Pages: 
pp. 5–58
Publication Type: 
Publications
School of Mathematics: 

d'après A. Grothendieck. Exposés XVII (Cohomologie à support propre) et XVIII (La formule de dualité globale)

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number4.pdf10.41 MB
Type: 
article
Journal: 

SGA4 (tome 3). Lecture Notes in Mathematics

Volume: 
305
Year: 
1973
Pages: 
pp. 250–461 and pp. 481–587
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

La conjecture de Weil pour les surfaces \(K3\)

Author: 
Pierre Deligne
AttachmentSize
PDF icon 16_ConjectureDeWeilK3.pdf864.29 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
15
Year: 
1972
Pages: 
pp. 206–226
Publication Type: 
Publications
School of Mathematics: 

Monodromy of hypergeometric functions and non-lattice integral monodromy

Author: 
Pierre Deligne
D. Mostow
AttachmentSize
PDF icon Number48.pdf3.95 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
63
Year: 
1986
Pages: 
pp. 5–89
Publication Type: 
Publications
School of Mathematics: 

Relèvements modulo \(p^2\) et d´ecomposition du complexe de de Rham

Author: 
Pierre Deligne
L. Illusie
AttachmentSize
PDF icon Number57.pdf1.22 MB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
89
Year: 
1987
Pages: 
pp. 247–270
Publication Type: 
Publications
School of Mathematics: 

Le déterminant de la cohomologie

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number58.pdf1.5 MB
Type: 
article
Journal: 

in Current Trends in Arithmetical Algebraic Geometry (Contemporary Mathematics)

Volume: 
67
Year: 
1987
Pages: 
pp. 93–177
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Les intersections complètes de niveau de Hodge

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number17.pdf573.07 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
15
Year: 
1972
Pages: 
pp. 237–250
Publication Type: 
Publications
School of Mathematics: 

Multizêtas, d'après Francis Brown

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 012312MultiZetas.pdf317.42 KB
Type: 
article
Journal: 

Séminaire Bourbaki 1048 (janvier 2012) Astérisque

Volume: 
352
Year: 
2013
Publication Type: 
Publications
School of Mathematics: 

Les immeubles des groupes de tresses générales

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number18.pdf1.23 MB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
17
Year: 
1972
Pages: 
pp. 273–302
Publication Type: 
Publications
School of Mathematics: 

Notes on supersymmetry (following Joseph Bernstein)

Author: 
Pierre Deligne
J. Morgan
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 41–97
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Notes on spinors

Author: 
Pierre Deligne
AttachmentSize
PDF icon 79_NotesOnSpinors.pdf1.19 MB
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 99–135
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Supersolutions

Author: 
Pierre Deligne
D. Freed
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 227-355
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Classical field theory

Author: 
Pierre Deligne
D. Freed
AttachmentSize
PDF icon 79_ClassicalFieldTheory.pdf3.42 MB
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 137–225
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Sign manifesto

Author: 
Pierre Deligne
D. Freed
AttachmentSize
PDF icon 79_SignManifesto.pdf267.54 KB
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 357–363
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Note on quantization

Author: 
Pierre Deligne
AttachmentSize
PDF icon 79_Notesonquantization.pdf378.6 KB
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 367–375
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Super space descriptions of super gravity

Author: 
Pierre Deligne
Type: 
article
Journal: 

in: Quantum Fields and Strings: a Course for Mathematicians

Year: 
1999
Pages: 
pp. 1013–1016
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Survey of Drinfel’d modules

Author: 
Pierre Deligne
D. Husemöller
AttachmentSize
PDF icon Number59.pdf1.2 MB
Type: 
article
Journal: 

in Current Trends in Arithmetical Algebraic Geometry, Contemporary Mathematics

Volume: 
67
Year: 
1987
Pages: 
pp. 25–91
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Catégories tannakiennes

Author: 
Pierre Deligne
AttachmentSize
PDF icon 60_categoriestanna.pdf3.79 MB
Type: 
article
Journal: 

in Grothendieck Festschrift vol II. Progress in Mathematics

Volume: 
87
Year: 
1990
Pages: 
pp. 111–195
Publication Type: 
Publications
Publisher: 
Birkhäuser Boston
School of Mathematics: 

On the exceptional series, and its descendants

Author: 
Pierre Deligne
B. Gross
Last Name: 
Deligne
Type: 
article
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
335
Year: 
2002
Pages: 
pp. 877–881
Publication Type: 
Publications
School of Mathematics: 

Théorie de Hodge III

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number19.pdf5.72 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
44
Year: 
1974
Pages: 
pp. 5–77
Publication Type: 
Publications
School of Mathematics: 

Le groupe fondamental de la droite projective moins trois points

Author: 
Pierre Deligne
AttachmentSize
PDF icon 61_LeGroupeFondamentalDroite.pdf4.16 MB
Type: 
article
Journal: 

in: Galois groups over \(\mathbb{Q}\). MSRI publications

Volume: 
16
Year: 
1989
Pages: 
pp. 72–297
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Les constantes des équations fonctionnelles des fonctions \(L\)

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number20.pdf2.84 MB
Type: 
article
Abstract: 

Une premiegrave;re version avait paru dans le seacute;minaire Delange-Pisot-Poitou 1969/70 (exp. 19 bis)

Journal: 

Proc. Antwerpen Conference, vol. 2; Lecture Notes in Mathematics

Volume: 
349
Year: 
1973
Pages: 
pp. 501–597
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

On complete reducibility in characteristic $p$

Author: 
Pierre Deligne
V. Balaji
A.J. Parameswaran
Last Name: 
Deligne
Type: 
article
Journal: 

Épijournal de Géométrie Algébrique

Volume: 
1
Year: 
2017
Publication Type: 
Publications
School of Mathematics: 

Filtrations de Hodge et par l’ordre du pôle pour les hypersurfaces singulières

Author: 
Pierre Deligne
A. Dimca
AttachmentSize
PDF icon 62_FiltrationsHodge.pdf914.87 KB
Type: 
article
Journal: 

Annales Scientifiques de l’École Normale Supérieure

Volume: 
23 4
Year: 
1990
Pages: 
pp. 645–656
Publication Type: 
Publications
School of Mathematics: 

Formes modulaires et représentations de \(GL(2)\)

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number21.pdf1.66 MB
Type: 
article
Journal: 

Proc. Antwerpen Conference, vol. 2; Lecture Notes in Mathematics

Volume: 
349
Year: 
1973
Pages: 
pp. 55–105
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Commensurabilities among lattices in \(PU(1, n)\)

Author: 
Pierre Deligne
D. Mostow
Type: 
article
Journal: 

Annals of Mathematics Studies

Volume: 
132
Year: 
1993
Publication Type: 
Publications
Publisher: 
Princeton University Press
School of Mathematics: 

Les schémas de modules de courbes elliptiques

Author: 
Pierre Deligne
M. Rapoport
AttachmentSize
PDF icon Number22.pdf5.42 MB
Type: 
article
Journal: 

Proc. Antwerpen Conference, vol. 2; Lecture Notes in Mathematics

Volume: 
349
Year: 
1973
Pages: 
pp. 143–316
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Groupe de Heisenberg et réalité.

Author: 
Pierre Deligne
AttachmentSize
PDF icon 64_GroupeHeisenberg.pdf745.06 KB
Type: 
article
Journal: 

JAMS

Volume: 
4 1
Year: 
1991
Pages: 
pp. 197–206
Publication Type: 
Publications
School of Mathematics: 

La conjecture de Weil I

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number23.pdf1.52 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
43
Year: 
1974
Pages: 
pp. 273–308
Publication Type: 
Publications
School of Mathematics: 

Formes modulaires de poids 1

Author: 
Pierre Deligne
J. P. Serre
AttachmentSize
PDF icon Number24.pdf2 MB
Type: 
article
Journal: 

Annales scientifiques de l'École Normale Supérieure

Volume: 
74
Year: 
1974
Pages: 
pp. 507– 530
Publication Type: 
Publications
School of Mathematics: 

Le symbole modéré.

Author: 
Pierre Deligne
AttachmentSize
PDF icon 65_LeSymboleModere.pdf3.01 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
73
Year: 
1991
Pages: 
pp. 147–181
Publication Type: 
Publications
School of Mathematics: 

Real homotopy theory of Kähler manifolds.

Author: 
Pierre Deligne
P. Griffiths
J. Morgan
D. Sullivan
AttachmentSize
PDF icon Number25.pdf1.57 MB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
29
Year: 
1975
Pages: 
pp. 245–274
Publication Type: 
Publications
School of Mathematics: 

Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant

Author: 
Pierre Deligne
G. Pappas
AttachmentSize
PDF icon 66_SingularitesHilbert.pdf1.88 MB
Type: 
article
Journal: 

Comp. Math.

Volume: 
90
Year: 
1994
Pages: 
pp. 59–79
Publication Type: 
Publications
School of Mathematics: 

A quoi servent les motifs

Author: 
Pierre Deligne
AttachmentSize
PDF icon 67_AQuoiServent.pdf3.15 MB
Type: 
article
Journal: 

in: Motives. Proceedings of Symposia in Pure Mathematics

Volume: 
55 t1
Year: 
1994
Pages: 
pp. 143–161
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Les constantes locales de l’équation fonctionnelle de la fonction L d’Artin d’une représentation orthogonale

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number26.pdf880.52 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
35
Year: 
1976
Pages: 
pp. 299–316
Publication Type: 
Publications
School of Mathematics: 

Action du groupe des tresses sur une catégorie

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number74.pdf210.66 KB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
128 1
Year: 
1997
Pages: 
pp. 159–175
Publication Type: 
Publications
School of Mathematics: 

Sur la variation, par torsion, des constantes locales d’équations fonctionnelles de fonctions \(L\)

Author: 
Pierre Deligne
G. Henniart
AttachmentSize
PDF icon Number43.pdf1.36 MB
Type: 
article
Journal: 

Inventiones Mathematicae

Volume: 
64
Year: 
1981
Pages: 
pp. 89–118
Publication Type: 
Publications
School of Mathematics: 

Catégories tensorielles

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Tensorielles.pdf248.57 KB
Type: 
article
Journal: 

Moscow Mathematical Journal

Volume: 
2 2
Year: 
2002
Pages: 
pp. 227–248
Publication Type: 
Publications
School of Mathematics: 

Poids dans la cohomologie des variétés algébriques

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon 29_Poidsdansla.pdf256.25 KB
Type: 
article
Journal: 

Actes du congrès international des mathématiciens (Vancouver)

Year: 
1974
Pages: 
pp. 79–85
Publication Type: 
Publications
School of Mathematics: 

Central extensions of reductive groups by \(K_2\)

Author: 
Pierre Deligne
J. L. Brylinski
AttachmentSize
PDF icon 78_ReductiveGroupsK2.pdf514.75 KB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
94
Year: 
2001
Pages: 
pp. 5–85
Publication Type: 
Publications
School of Mathematics: 

On the locus of Hodge classes

Author: 
Pierre Deligne
E. Cattani
A. Kaplan
AttachmentSize
PDF icon 70_LocusHodgeClasses.pdf216.72 KB
Type: 
article
Journal: 

JAMS

Volume: 
82
Year: 
1995
Pages: 
pp. 483–505
Publication Type: 
Publications
School of Mathematics: 

Comptage de faisceaux \(l\)-adiques

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Adiques.pdf276.4 KB
Type: 
article
Journal: 

De la géométrie aux formes automorphes (I) (en l'honneur du soixantième anniversaire de Gérard Laumon, Astérisque

Volume: 
369
Year: 
2015
Pages: 
285–312
Publication Type: 
Publications
School of Mathematics: 

Preuve des conjectures de Tate et de Shafarevitch (d’après G. Faltings)

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number52.pdf1.59 MB
Type: 
article
Journal: 

Séminaire Bourbaki 616 (novembre 1983); Astérisque

Volume: 
121-122
Year: 
1985
Pages: 
pp. 25–42
Publication Type: 
Publications
School of Mathematics: 

Counting local systems with principal unipotent local monodromy

Author: 
Pierre Deligne
Y. Z. Flicker
Last Name: 
AttachmentSize
PDF icon CountingLocal.pdf535.66 KB
Type: 
article
Journal: 

Annals of Math.

Volume: 
178 3
Year: 
2013
Pages: 
921–982
Publication Type: 
Publications
School of Mathematics: 

Quelques idées maîtresses de l’oeuvre de A. Grothendieck

Author: 
Pierre Deligne
AttachmentSize
PDF icon 77_Quelqyesidees.pdf320.54 KB
Type: 
article
Journal: 

in: Matériaux pour l’histoire des mathématiques au \(XX^e\) siècle, Actes du colloqne à la mémoire de Jean Dieudonné (Nice, 1996). Séminaires et congrès

Volume: 
3
Year: 
1998
Pages: 
pp. 11-19
Publication Type: 
Publications
Publisher: 
SMF
School of Mathematics: 

Cristaux ordinaires et coordonnées canoniques

Author: 
Pierre Deligne
L. Illusie
AttachmentSize
PDF icon Number37.pdf2.18 MB
Type: 
article
Journal: 

Séminaire de Géométrie Algébrique d’Orsay 1976–78; Lecture Notes in Mathematics

Volume: 
868
Year: 
1981
Pages: 
pp. 80–127
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Relèvement des surfaces \(K3\) en caractéristique nulle

Author: 
Pierre Deligne
L. Illusie
AttachmentSize
PDF icon Number36.pdf889.27 KB
Type: 
article
Journal: 

Séminaire de Géométrie Algébrique d’Orsay 1976–78; Lecture Notes in Mathematics

Volume: 
868
Year: 
1981
Pages: 
pp. 58–79
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes.

Author: 
rédigé par J. L. Brylinski
Pierre Deligne
AttachmentSize
PDF icon Number41.pdf640.48 KB
Type: 
article
Journal: 

Mémoires SMF

Volume: 
2
Year: 
1980
Pages: 
pp. 23–33
Publication Type: 
Publications
School of Mathematics: 

Representations of reductive groups over finite fields

Author: 
Pierre Deligne
G. Lusztig
AttachmentSize
PDF icon Number27.pdf3.47 MB
Type: 
article
Journal: 

Annals of Mathematics

Volume: 
103
Year: 
1976
Pages: 
pp. 103–161
Publication Type: 
Publications
School of Mathematics: 

Division algebras and the Hausdorff-Banach-Tarski paradox

Author: 
Pierre Deligne
D. Sullivan
AttachmentSize
PDF icon Number51.pdf392.16 KB
Type: 
article
Journal: 

L’Enseignement Math.

Volume: 
t. 29
Year: 
1983
Pages: 
pp. 145–150
Publication Type: 
Publications
School of Mathematics: 

SGA \(4^\frac{1}{2}\) – Cohomologie étale.

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number32.pdf10.61 MB
Type: 
article
Journal: 

Lecture Notes in Mathematics

Volume: 
569
Year: 
1977
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Duality for representations of a reductive group over a finite field

Author: 
Pierre Deligne
G. Lusztig
AttachmentSize
PDF icon Number44.pdf340.83 KB
Type: 
article
Journal: 

Journal of Algebra

Volume: 
741
Year: 
1982
Pages: 
pp. 284–290
Publication Type: 
Publications
School of Mathematics: 

Semi-simplicité de produits tensoriels en caractéristique \(p\)

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon ProdTens.pdf275.01 KB
Type: 
article
Journal: 

preprint

Year: 
2014
Publication Type: 
Publications
School of Mathematics: 

Duality for representations of reductive group over a finite field II

Author: 
Pierre Deligne
G. Lusztig
AttachmentSize
PDF icon Number46.pdf243.3 KB
Type: 
article
Journal: 

Journal of Algebra

Volume: 
812
Year: 
1983
Pages: 
pp. 540–545
Publication Type: 
Publications
School of Mathematics: 

Singularités irrégulière: correspondance et documents

Author: 
Pierre Deligne
B. Malgrange
J.-P. Ramis
Type: 
article
Journal: 

Documents mathématiques

Volume: 
5
Year: 
2007
Publication Type: 
Publications
Publisher: 
SMF
School of Mathematics: 

Décompositions dans la catégorie dérivée.

Author: 
Pierre Deligne
AttachmentSize
PDF icon 68_Decompositionsdans.pdf463.14 KB
Type: 
article
Journal: 

in: Motives. Proceedings of Symposia in Pure Mathematics

Volume: 
55 t1
Year: 
1994
Pages: 
pp. 115–128
Publication Type: 
Publications
Publisher: 
AMS
School of Mathematics: 

Sommes de Gauss cubiques et revêtements de \(\mathrm{SL}(2)\) (d’après S.J. Patterson).

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Number38.pdf1.44 MB
Type: 
article
Journal: 

Séminaire Bourbaki 539 (juin 1979); Lecture Notes in Mathematics

Volume: 
770
Year: 
1980
Pages: 
pp. 244–277
Publication Type: 
Publications
Publisher: 
Springer-Verlag
School of Mathematics: 

Déformations de l’algèbre des fonctions d’une variété symplectique: comparaison entre Fedosov et De Wilde, Lecomte

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number72.pdf1.77 MB
Type: 
article
Journal: 

Selecta Mathematica, New Series

Volume: 
1 4
Year: 
1995
Pages: 
pp. 667– 697
Publication Type: 
Publications
School of Mathematics: 

Equivalence numérique, équivalence cohomologique et théorie de Lefschetz des variétés abéliennes sur les corps finis

Author: 
rédigé par L. Clozel
Pierre Deligne
Last Name: 
Clozel
AttachmentSize
PDF icon Equivalence numerique.pdf192.65 KB
Type: 
article
Journal: 

Pure and Applied Mathematics Quarterly

Volume: 
5 1
Year: 
2009
Pages: 
pp. 495–506
Publication Type: 
Publications
School of Mathematics: 

Extended Euler congruence

Author: 
Pierre Deligne
Last Name: 
Deligne
AttachmentSize
PDF icon Extended Euler congruence.pdf186.73 KB
Type: 
article
Journal: 

Functional Analysis and Other Mathematics

Volume: 
2 2-4
Year: 
2009
Pages: 
pp. 249-250
Publication Type: 
Publications
School of Mathematics: 

Extensions centrales de groupes algébriques simplement connexes et cohomologie galoisienne

Author: 
Pierre Deligne
AttachmentSize
PDF icon Number73.pdf2.64 MB
Type: 
article
Journal: 

Publications Mathématiques de l'IHÉS

Volume: 
84
Year: 
1996
Pages: 
pp. 35–89
Publication Type: 
Publications
School of Mathematics: 

Extensions centrales non résiduellement finies de groupes arithmétiques

Author: 
Pierre Deligne
AttachmentSize
PDF icon 35_ExtensionsCentrales.pdf270.46 KB
Type: 
article
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
287
Year: 
1978
Pages: 
pp. 203–208
Publication Type: 
Publications
School of Mathematics: 

Faisceaux pervers

Author: 
Pierre Deligne
A.A. Beilinson
J. Bernstein
Last Name: 
Deligne
AttachmentSize
PDF icon Faisceaux pervers.pdf1.46 MB
Type: 
article
Journal: 

Astérisque

Volume: 
100
Year: 
1983
Publication Type: 
Publications
School of Mathematics: 

Fibrés vectoriels complexes à groupe structural discret

Author: 
Pierre Deligne
D. Sullivan
AttachmentSize
PDF icon 28_FibresVectoriels.pdf111 KB
Type: 
article
Journal: 

C.R. Acad. Sc. Paris

Volume: 
t. 281
Year: 
1975
Pages: 
pp. 1081–1083
Publication Type: 
Publications
School of Mathematics: 

Finitude de l’extension de \(\mathbb{Q}\) engendrée par des traces de Frobenius, en caractéristique finie

Author: 
Pierre Deligne
AttachmentSize
PDF icon FrobTraces.pdf204.4 KB
Type: 
article
Journal: 

Moscow Math. J.

Volume: 
12 3
Year: 
2012
Pages: 
pp. 497–514.
Publication Type: 
Publications
School of Mathematics: 

Extension des scalaires par le morphisme de Frobenius, pour les groupes réductifs.

Author: 
Pierre Deligne
Last Name: 
Deligne
BookPublisher: 
Type: 
article
Keywords: 
Abstract: 
Journal: 

Comptes Rendus de l'Académie des sciences Paris

Volume: 
356
Year: 
2018
MathReview: 
Pages: 
pp. 717–719
Publication Type: 
Publications
Publisher: 
School of Mathematics: 
Book Year: 
Book Pages: 
Accepted By: 
Submitted To: 

On the \(K(\pi, 1)\)-problem for restrictions of complex reflection arrangements

Author: 
with N. Amend and G. Röhrle
Last Name: 
Röhrle
AttachmentSize
PDF icon K-pi1-problem.pdf655.89 KB
Type: 
article
Journal: 

Compositio Mathematica

Volume: 
156
Year: 
2020
Pages: 
526–532
Publication Type: 
Publications