La conjecture de Weil : II
Publications Mathématiques de l'IHÉS (1980)
- Volume: 52, page 137-252
- ISSN: 0073-8301
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topDeligne, Pierre. "La conjecture de Weil : II." Publications Mathématiques de l'IHÉS 52 (1980): 137-252. <http://eudml.org/doc/103970>.
@article{Deligne1980,
author = {Deligne, Pierre},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {Weil conjecture; cohomology with value in a sheaf; finite field; eigenvalues of Frobenius automorphism; weights; mixed sheaf; strong Lefschetz theorem; Ql-homotopy type},
language = {fre},
pages = {137-252},
publisher = {Institut des Hautes Études Scientifiques},
title = {La conjecture de Weil : II},
url = {http://eudml.org/doc/103970},
volume = {52},
year = {1980},
}
TY - JOUR
AU - Deligne, Pierre
TI - La conjecture de Weil : II
JO - Publications Mathématiques de l'IHÉS
PY - 1980
PB - Institut des Hautes Études Scientifiques
VL - 52
SP - 137
EP - 252
LA - fre
KW - Weil conjecture; cohomology with value in a sheaf; finite field; eigenvalues of Frobenius automorphism; weights; mixed sheaf; strong Lefschetz theorem; Ql-homotopy type
UR - http://eudml.org/doc/103970
ER -
References
top- [1] P. DELIGNE, La conjecture de Weil, I, Publ. Math. IHES, 43 (1974), 273-308. Zbl0287.14001MR49 #5013
- [2] P. DELIGNE, Théorie de Hodge, I, Actes ICM, Nice, Gauthier-Villars, 1970, t. I, 425-430 ; II, Publ. Math. IHES, 40 (1971), 5-58 ; III, Publ. Math. IHES, 44 (1974), 5-77. Zbl0237.14003
- [3] P. DELIGNE, Poids dans la cohomologie des variétés algébriques, Actes ICM, Vancouver, 1974, 79-85. Zbl0334.14011MR55 #5634
- [4] P. DELIGNE, Formes modulaires et représentations l-adiques, Sém. Bourb. 355 (févr. 1969), in LN, 179 (Springer Verlag). Zbl0206.49901
- [5] P. DELIGNE, Les constantes des équations fonctionnelles des fonctions L, in Proc. Antwerpen conf., vol. 2, LN, 349 (Springer Verlag), 501-595. Zbl0271.14011MR50 #2128
- [6] P. DELIGNE, P. GRIFFITHS, J. MORGAN et D. SULLIVAN, Real homotopy theory of Kähler manifolds, Inv. Math., 29 (1975), 245-274. Zbl0312.55011MR52 #3584
- [7] N. KATZ and W. MESSING, Some consequences of the Riemann Hypothesis for Varieties over Finite Fields, Inv. Math., 23 (1974), 73-77. Zbl0275.14011MR48 #11117
- [8] E. MILLER, De Rham cohomology with arbitrary coefficients, Topology, 17 (2) (1978), 193-203. Zbl0386.55011MR57 #7575
- [9] J. MORGAN, The algebraic topology of smooth algebraic manifolds, Publ. Math. IHES, 48 (1978), 137-204. Zbl0401.14003MR80e:55020
- [10] J.-P. SERRE, Corps locaux, Publ. Math. Nancago, Hermann, 1962. Zbl0137.02601MR27 #133
- [11] J.-P. SERRE, Abelian l-adic representations and elliptic curves, Benjamin, 1968. Zbl0186.25701MR41 #8422
- [12] J. STEENBRINK, Limits of Hodge structures, Inv. Math., 31 (1976), 229-257. Zbl0303.14002MR55 #2894
- [13] D. SULLIVAN, Infinitesimal calculations in topology, Publ. Math. IHES, 47 (1977), 269-331. Zbl0374.57002MR58 #31119
Citations in EuDML Documents
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- Jean Claude Douai, Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3
- Bjorn Poonen, Sieve methods for varieties over finite fields and arithmetic schemes
- F. Guillén, Une relation entre la filtration par le poids de Deligne et la filtration de Zeeman
- Bruno Kahn, On the semi-simplicity of Galois actions
- Weizhe Zheng, Sur la cohomologie des faisceaux -adiques entiers sur les corps locaux
- Richard Crew, -isocrystals and their monodromy groups
- Klaus Künnemann, Height pairings for algebraic cycles on abelian varieties
- Daniel Juteau, Decomposition numbers for perverse sheaves
- Nicholas M. Katz, Gérard Laumon, Transformation de Fourier et majoration de sommes exponentielles
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