La conjecture de Weil : II

Pierre Deligne

Publications Mathématiques de l'IHÉS (1980)

  • Volume: 52, page 137-252
  • ISSN: 0073-8301

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Deligne, 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

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  1. [1] P. DELIGNE, La conjecture de Weil, I, Publ. Math. IHES, 43 (1974), 273-308. Zbl0287.14001MR49 #5013
  2. [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. [3] P. DELIGNE, Poids dans la cohomologie des variétés algébriques, Actes ICM, Vancouver, 1974, 79-85. Zbl0334.14011MR55 #5634
  4. [4] P. DELIGNE, Formes modulaires et représentations l-adiques, Sém. Bourb. 355 (févr. 1969), in LN, 179 (Springer Verlag). Zbl0206.49901
  5. [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. [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. [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. [8] E. MILLER, De Rham cohomology with arbitrary coefficients, Topology, 17 (2) (1978), 193-203. Zbl0386.55011MR57 #7575
  9. [9] J. MORGAN, The algebraic topology of smooth algebraic manifolds, Publ. Math. IHES, 48 (1978), 137-204. Zbl0401.14003MR80e:55020
  10. [10] J.-P. SERRE, Corps locaux, Publ. Math. Nancago, Hermann, 1962. Zbl0137.02601MR27 #133
  11. [11] J.-P. SERRE, Abelian l-adic representations and elliptic curves, Benjamin, 1968. Zbl0186.25701MR41 #8422
  12. [12] J. STEENBRINK, Limits of Hodge structures, Inv. Math., 31 (1976), 229-257. Zbl0303.14002MR55 #2894
  13. [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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  1. Jeffrey D. Achter, Joshua Holden, Notes on an analogue of the Fontaine-Mazur conjecture
  2. Jean Claude Douai, Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3
  3. Bjorn Poonen, Sieve methods for varieties over finite fields and arithmetic schemes
  4. F. Guillén, Une relation entre la filtration par le poids de Deligne et la filtration de Zeeman
  5. Bruno Kahn, On the semi-simplicity of Galois actions
  6. Weizhe Zheng, Sur la cohomologie des faisceaux l -adiques entiers sur les corps locaux
  7. Daniel Juteau, Decomposition numbers for perverse sheaves
  8. Richard Crew, F -isocrystals and their monodromy groups
  9. Klaus Künnemann, Height pairings for algebraic cycles on abelian varieties
  10. Nicholas M. Katz, Gérard Laumon, Transformation de Fourier et majoration de sommes exponentielles

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