References
Bloch, S.: On the Chow group of certain rational surfaces. Ann. Sci. Éc. Norm. Supér, IV. Sér.14, 41–59 (1981)
Bloch, S.: Lectures on Algebraic Cycles. (Duke Univ. Math. Ser.) Durham: Duke University Press 1980
Bloch, S.: Algebraic K-theory and class field theory for arithmetic surfaces. Ann. Math.114, 229–265 (1981)
Bloch, S., Ogus, A.: Gersten's conjecture and the homology of schemes. Ann. Sci. Ec. Norm. Supér., IV. Sér.7, 181–202 (1974)
Coombes, K.: The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero. (Preprint)
Colliot-Thélène, J.-L.: Hilbert's theorem 90 for K2, with application to the Chow groups of rational surfaces. Invent. Math.71, 1–20 (1983)
Colliot-Thélène, J.-L., Raskind, W.: K2-cohomology and the second Chow group. Math. Ann.270, 165–199 (1985)
Colliot-Thélène, J.-L., Raskind, W.: Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: un théorème de finitude pour la torsion. (Preprint)
Colliot-Thélène, J.-L., Raskind, W.: On the reciprocity law for surfaces over finite fields. J. Fac. Sci., Univ. Tokyo, Sect. I A33, 283–294 (1986)
Colliot-Thélène, J.-L., Sansuc, J.-J.: On the Chow group of certain rational surfaces: A sequel to a paper of S. Bloch. Duke Math. J.48, 421–447 (1981)
Colliot-Thélène, J.-L., Sansuc, J.-J., Soule, C.: Torsion dans le groupe de Chow de codimension deux. Duke math. J.51 (1984)
Deligne, P.: La conjecture de Weil II. Publ. Math., Inst. Hautes Étud. Sci.52 (1981)
Fulton, W.: Intersection Theory (Ergeb. Math. Grenzgeb., 3. Folge) Berlin Heidelberg New York: Springer 1984
Grothendieck, A.: Le groupe de Brauer II. In: Dix Exposés sur la cohomologie des schémas, pp. 67–87. Amsterdam: North-Holland 1968
Grayson, D.: Universal exactness in algebraic K-theory. J. Pure Appl. Algebra36, 139–141 (1985)
Gros, M.: 0-cycles de degré zéro sur les surfaces fibrées en coniques. J. Reine Angew. Math.373, 166–184 (1987)
Jannsen, U.: Continuous Etale Cohomology. Math. Ann.280, 207–245 (1988)
Jannsen, U.: On the ℓ-adic cohomology of varieties over number fields and its Galois cohomology. In: Ihara, Y., Ribet, K.A., Serre, J.-P. (eds.) Galois Group over Q Berlin Heidelberg New York: Springer 1989
Milne, J.S.: Étale Cohomology. Princeton, New Jersey: Princeton University Press 1980
Milne, J.S.: Arithmetic Duality Theorems. (Perspect. Math.) Boston: Academic Press 1986
Mercurjev, A.S., Suslin, A.A.: K-cohomology of Severi-Brauer Varieties and the norm residue homomorphism. Math. USSR Izv.21, 307–341 (1983)
Okochi, T.: On the Chow group of a conic bundle surface. Master's thesis. University of Tokyo: 1984
Quillen, D.: Higher algebraic K-theory I. (Lect. Notes Math. vol.) Berlin Heidelberg New York: Springer 1973
Raskind, W.: Torsion algebraic cycles on varieties over local fields. In: Jardine, J.F., Snaith, V.P. (eds.) Algebraic K-theory: Connection with Geometry and Topology (Lake Louise 1987). Dordrecht: Kluwer Academic Publishers (1989)
Salberger, P.: Lectures in Italy. June 1989
Salberger, P.: Torsion cycles of codimension two andl-adic realization of motivic cohomology (preprint)
Serre, J.-P.: Cohomologie Galoisienne. (Lect. Notes Math. vol. 5) Berlin Heidelberg New York: Springer 1965
Suslin, A.A.: Torsion in K2 of fields. Prepr. LOMI E-2-82; K-Theory1, no. 1, 5–29 (1987)
Tate, J.: Relations between K2 and Galois cohomology. Invent. Math.36, 257–274 (1976)
Deligne, P.: Cohomologie Etale. (Lect. Notes Math. vol. 569) Berlin Heidelberg New York: Springer 1977
Artin, M., Grothendieck, A., Verdier, J.L.: Théorie des Topos et Cohomologie Etale des Schémas (Tome 2). (Lect. Notes Math. vol. 270; ibid (Tome 3), ibid vol. 305) Berlin Heidelberg New York: Springer 1972; 1973
Author information
Authors and Affiliations
Additional information
Oblatum 7-XI-1990 & 25-III-1991
Rights and permissions
About this article
Cite this article
Saito, S. On the cycle map for torsion algebraic cycles of codimension two. Invent Math 106, 443–460 (1991). https://doi.org/10.1007/BF01243920
Issue Date:
DOI: https://doi.org/10.1007/BF01243920