Deligne, Pierre La conjecture de Weil. II. (French) Zbl 0456.14014 Publ. Math., Inst. Hautes Étud. Sci. 52, 137-252 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 47 ReviewsCited in 470 Documents MathOverflow Questions: Eigenvalues of Frobenius in \(l\)-adic cohomology MSC: 14G99 Arithmetic problems in algebraic geometry; Diophantine geometry 14F30 \(p\)-adic cohomology, crystalline cohomology 14F35 Homotopy theory and fundamental groups in algebraic geometry 14G15 Finite ground fields in algebraic geometry 14G20 Local ground fields in algebraic geometry Keywords:Weil conjecture; cohomology with value in a sheaf; finite field; eigenvalues of Frobenius automorphism; weights; mixed sheaf; strong Lefschetz theorem; Ql-homotopy type Citations:Zbl 0287.14001 PDF BibTeX XML Cite \textit{P. Deligne}, Publ. Math., Inst. Hautes Étud. Sci. 52, 137--252 (1980; Zbl 0456.14014) Full Text: DOI Numdam EuDML OpenURL References: [1] P. Deligne, La conjecture de Weil, I,Publ. Math. IHES,43 (1974), 273–308. [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. [3] P. Deligne, Poids dans la cohomologie des variétés algébriques,Actes ICM, Vancouver, 1974, 79–85. [4] P. Deligne, Formes modulaires et représentationsl-adiques,Sém. Bourb. 355 (févr. 1969), inLN,179 (Springer Verlag). [5] P. Deligne, Les constantes des équations fonctionnelles des fonctions L, inProc. Antwerpen conf., vol. 23,LN,349 (Springer Verlag), 501–595. [6] P. Deligne, P. Griffiths, J. Morgan etD. Sullivan, Real homotopy theory of Kähler manifolds,Inv. Math.,29 (1975), 245–274. · Zbl 0312.55011 [7] N. Katz andW. Messing, Some consequences of the Riemann Hypothesis for Varieties over Finite Fields,Inv. Math.,23 (1974), 73–77. · Zbl 0275.14011 [8] E. Miller, De Rham cohomology with arbitrary coefficients,Topology,17 (2) (1978), 193–203. · Zbl 0386.55011 [9] J. Morgan, The algebraic topology of smooth algebraic manifolds,Publ. Math. IHES,48 (1978), 137–204, · Zbl 0401.14003 [10] J.-P. Serre,Corps locaux, Publ. Math. Nancago, Hermann, 1962. · Zbl 0137.02601 [11] J.-P. Serre,Abelian l-adic representations and elliptic curves, Benjamin, 1968. [12] J. Steenbrink, Limits of Hodge structures,Int. Math.,31 (1976), 229–257. · Zbl 0303.14002 [13] D. Sullivan, Infinitesimal calculations in topology,Publ. Math. IHES,47 (1977), 269–331. · Zbl 0374.57002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.