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Bibliographie
Bass, H.:K 2 des corps globaux (d'après Tate, Garland, ...), Séminaire Bourbaki, No. 394 (1971). Lecture Notes in Mathematics, Vol. 244. Berlin, Heidelberg, New York: Springer 1972
Colliot-Thélène, J.L., Sansuc, J.J., Soulé, C.: Torsion dans le groupe de Chow de codimension deux. Duke Math. J.50, 763–801 (1983)
Deligne, P.: La conjecture de Weil. I. Publ. Math. IHES43, 273–308 (1974)
Deligne, P.: Cohomologie étale. In: SGAIV 1/2., Lecture Notes in Mathematics, Vol. 569. Berlin, Heidelberg, New York: Springer 1977
Dwyer, W., Friedlander, E.: EtaleK-theory and arithmetic. Preprint (1983)
Fulton, W.: Rational equivalence on singular varieties. Publ. Math. IHES45, 147–167 (1975)
Gillet, H.: Riemann-Roch theorems for higher algebraicK-theory. Adv. Math.40, 203–289 (1981)
Grayson, D.: Products inK-theory and intersecting algebraic cycles. Invent. Math.47, 71–84 (1978)
Grothendieck, A.: Théorie des intersections et théorème de Riemann-Roch, SGA VI. In: Lecture Notes in Mathematics, Vol. 225. Berlin, Heidelberg, New York: Springer 1971
Harder, G.: Die KomohologieS-arithmetischer Gruppen über Funktionenkörper. Invent. Math.42, 135–175 (1977)
Hartshorne, R.: Algebraic geometry. Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg, New York: Springer 1977
Jouanolou, J.P.: Riemann-Roch sans dénominateurs. Invent. Math.11, 15–26 (1970)
Kato, K., Saito, S.: Unramified class field theory of arithmetical sur faces. Preprint (1982)
Katsura, T., Shioda, T.: On Fermat varieties. Tôhoku Math. J.31, 97–115 (1979)
Kleiman, S.L.: Motives, dans “algebraic geometry”. pp. 53–82. Oslo: Wolters-Noordhoff 1970
Kratzer, C.: λ-structure enK-théorie algébrique. Commun. Math. Helv.55, 233–254 (1980)
Lang, S.: Sur les sériesL d'une variété algébrique. Bull. Soc. Math. France84, 385–407 (1956)
Lichtenbaum, S.: Values of zeta functions, etale cohomology and algebraicK-theory. In: Lecture Notes in Mathematics, Vol. 342, pp. 489–499. Berlin, Heidelberg, New York: Springer 1973
Manin, Y.I.: Correspondences, motives and monoïdal transformations. Mat. Sborn.77, 475–507 (1970), AMS Transl.
Mumford, D.: Abelian varieties. Oxford: Oxford Univ. Press 1970
Nisnevic, L.: Number of points of algebraic varieties over finite fields (en russe) Dokl. Akad. Nauk99, 17–20 (1954)
Quillen, D.: On the cohomology andK-theory of the general linear groups over a finite field. Ann. Math.96, 552–486 (1972)
Quillen, D.: AlgebraicK-theory I. In: Lecture Notes in Mathematics, Vol 341, pp. 85–147. Berlin, Heidelberg, New York: Springer 1973
Quillen, D.: Finite generation of the groupsK i of rings algebraic integers. In: Lecture Notes in Mathematics, Vol. 341, pp. 179–210. Berlin, Heidelberg, New York: Springer 1973; Finite generation ofK-groups of a curve over a finite field, rédigé par D. Grayson. In: Lecture Notes in Mathematics, Vol. 966, pp. 69–90. Berlin, Heidelberg, New York: Springer 1982
Quillen, D.: Higher algebraicK-theory. Actes ICM, pp. 171–176. Vancouver (1974)
Shermenev, A.M.: The motif of an abelian variety. Functional Analysis8, 55–61 (1974)
Soulé, C.:K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale. Invent. Math.55, 251–295 (1979)
Soulé, C.: Opérations enK-théorie algébrique. Prépublication (1983)
Tate, J.: Algebraic cycles and poles of zeta functions. Dans: Arithmetical algebraic geometry, pp. 93–110. New York: Harper and Row 1965
Tate, J.: Endomorphisms of abelian varieties over finite fields. Invent. Math.2, 134–144 (1966)
Weil, A.: Variétés abéliennes et courbes algébriques. Paris: Hermann 1948
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Soulé, C. Groupes de Chow etK-théorie de variétés sur un corps fini. Math. Ann. 268, 317–345 (1984). https://doi.org/10.1007/BF01457062
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DOI: https://doi.org/10.1007/BF01457062