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La conjecture de Weil pour les surfaces K3. (French) Zbl 0219.14022

MSC:
14K15 Arithmetic ground fields for abelian varieties
14F30 \(p\)-adic cohomology, crystalline cohomology
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14G25 Global ground fields in algebraic geometry
14J25 Special surfaces
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References:
[1] Artin, M.: Algebraisation of formal moduli I. Global analysis. Papers in honor of K. Kodaira. Princeton University Press.
[2] Baily, W. L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Annals of Math. (2)84, 442-528 (1966). (MR35, 6870). · Zbl 0154.08602
[3] Bourbaki, N.: Algèbre?Chapitre 9. Paris: Hermann 1959. Act. Sci. et Ind. 1272.
[4] Deligne, P.: Travaux de Griffiths?Séminaire Bourbaki 376?mai 1970. Lecture Notes in mathematics180. Berlin-Heidelberg-New York: Springer 1971.
[5] Demazure, M.: Motifs des variétés algébriques?Séminaire Bourbaki 365?mai 1970. Lecture Notes in mathematics180. Berlin-Heidelberg-New York: Springer 1971.
[6] Griffiths, P. A.: Periods of integrals on algebraic manifolds. (Summary of main results and discussions of open problems and conjectures). Bull. Am. Math. Soc.75, 228-296 (1970). · Zbl 0214.19802
[7] Kuga, M., Satake, I.: Abelian varieties attached to polarized K 3-surfaces. Math. Ann.169, 239-242 (1967). (MR35 1602). · Zbl 0221.14019
[8] ?afarevitch, Chafonevitch, I. R., Averbuch, B. C. Vaünberg, Ju. R., Jujtchenko, A. B., Manin, Ju. I., Moishezon, B. C., Tjurina, C. I., Tjurin, A. I.: Algebraic surfaces. Trudi Mat. Inst. Steklov LXXV.
[9] Weil, A.: Variétés abéliennes et courbes algébriques. Paris: Hermann 1948.
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