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La conjecture de Weil. I. (French) Zbl 0287.14001

14G99Arithmetic problems in algebraic geometry. Diophantine geometry
14G10Zeta-functions and related questions
14-02Research monographs (algebraic geometry)
14FxxHomology and cohomology theory (algebraic geometry)
Full Text: DOI Numdam EuDML
[1] A. Grothendieck, Formule de Lefschetz et rationalité des fonctions L,Séminaire Bourbaki, 279, décembre 1964 (Benjamin).
[2] S. Lefschetz,L’analysis situs et la géométrie algébrique (Gauthier-Villars), 1924. Reproduit dans :Selected papers (Chelsea Publ. Co.).
[3] R. A. Rankin, Contributions to the theory of Ramanujan’s function {$\tau$}(n) and similar arithmetical functions. II,Proc. Camb. Phil. Soc.,35 (1939), 351--372. · Zbl 0021.39202 · doi:10.1017/S0305004100021095
[4] A. Weil, Numbers of solutions of equations in finite fields,Bull. Am. Math. Soc.,55 (1949), p. 497--508. SGA,Séminaire de Géométrie Algébrique du Bois-Marie (IHES): SGA 4, Théorie des topos et cohomologie étale des schémas (dirigé parM. Artin, A. Grothendieck etJ.-L. Verdier),Lecture Notes in Math., 269, 270, 305. SGA 5,Cohomologie l-adique et fonctions L, diffusé par l’IHES. SGA 7, Groupes de monodromie en géométrie algébrique. 1re partie: dirigé parA. Grothendieck,Lecture Notes in Math., 288. 2e partie : parP. Deligne etN. Katz,Lecture Notes in Math., 340. · Zbl 0032.39402 · doi:10.1090/S0002-9904-1949-09219-4