Motivic complexes of Suslin and Voevodsky

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1. [1] M.F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces. In Differential Geometry, Proc. Sympos. Pure Math, vol. 3, A.M.S. (1961), 7-38. Zbl0108.17705MR139181
2. [2] A. Beilinson. Letter to C. Soulé, 1982. 
3. [3] A. Beilinson. Higher regulators and values of L-functions. Current Problems in Mathematics, 24 (1984), 181-238. Zbl0588.14013MR760999
4. [4] A. Beilinson. Height pairing between algebraic cycles. In K-Theory, Arithmetic and Geometry, Moscow1984-86, Lecture Notes in Math1289, Springer-Verlag (1987), 1-26. Zbl0651.14002MR923131
5. [5] S. Bloch. Algebraic cycles and higher K-theory. Adv. in Math61 (1986), 267-304. Zbl0608.14004MR852815
6. [6] S. Bloch and S. Lichtenbaum. A spectral sequence for motivic cohomology. Preprint 
7. [7] A. Dold and R. Thorn, Quasifaserungen und unendliche symmetrische produckte. Annals of Math, 68 (1958), 239-281. Zbl0091.37102MR97062
8. [8] W. Dwyer and E. Friedlander. Algebraic and etale K-theory. Trans. A. M.S., 292 (1985), 247-280. Zbl0581.14012MR805962
9. [9] E. Friedlander. Algebraic cocycles on quasi-projective varieties. Compositio Math. (1997). Zbl0915.14004
10. [10] E. Friedlander, O. Gabber. Cycle spaces and intersection theory. In Topological Methods in Modern Mathematics, (1993), 325-370. Zbl0830.14008MR1215970
11. [11] E. Friedlander and H.B. Lawson. A theory of algebraic cocycles. Annals of Math, 136 (1992), 361-428. Zbl0788.14014MR1185123
12. [12] E. Friedlander and H.B. Lawson. Duality relating spaces of algebraic cocycles and cycles. Topology, 36 (1997), 533-565. Zbl0889.14004MR1415605
13. [13] E. Friedlander and H.B. Lawson. Moving algebraic cycles of bounded degree. Inuentiones Math. Zbl0936.14005
14. [14] E. Friedlander and V. Voevodsky. Bivariant cycle homology. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl1019.14011
15. [15] W. FultonIntersection Theory, Ergebnisee, Springer-Verlag1984 Zbl0541.14005MR732620
16. [16] H. Gillet and C. Soulé. Descent, motives and K-theory. J. reine angew Math, 478 (1996), 127-176. Zbl0863.19002MR1409056
17. [17] A. Grothendieck, P. Berthelot, and L. Illusie. SGA 6, Lecture Notes in Mathematics225, Springer1971. MR354655
18. [18] H.B. Lawson. Algebraic cycles and homotopy theory. Annals of Math, 129 (1989), 253-291. Zbl0688.14006MR986794
19. [19] M. Levine. Relative Milnor K-theory. K-Theory, 6 (1992), 113-175. Zbl0780.19005MR1187704
20. Correction:K- Theory, 9 (1995), 503-505. Zbl0836.19003MR1357797
21. [20] M. Levine. Bloch's higher Chow groups revisited. Astérisque210 (1994), 235-320. Zbl0817.19004MR1317122
22. [21] M. Levine. Motivic cohomology and algebraic cycles: a categorical construction, I. Preprint (1993). 
23. [22] S. Lichtenbaum. Values of zeta-functions at non-negative integers. In Number Theory, Lecture Notes in Math1068, Springer-Verlag (1983), 127-138. Zbl0591.14014MR756089
24. [23] Y. Nisnevich. The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory. In Algebraic K-theory: connections with geometry and topology1989, Kluwer Acad Publ, 241-342. Zbl0715.14009MR1045853
25. [24] Yu.P. Nesternko and A. Suslin. Homology of the general linear group over a local ring and Milnor K-theory. Izv AN SSSR. Zbl0668.18011
26. [25] C. Soulé. Opérations en K-théorie algébrique. Canad. J. Math37 (1985), 488-550. Zbl0575.14015MR787114
27. [26] A. Suslin. On the K-theory of algebraically closed fields. Inventiones Math73 (1983), 241-245. Zbl0514.18008MR714090
28. [27] A. Suslin. Higher Chow groups and etale cohomology. In: Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl1019.14001MR1764203
29. [28] A. Suslin and V. Voevodsky. Singular homology of abstract algebraic varieties. Inventiones Math123 (1996), 61-94. Zbl0896.55002MR1376246
30. [29] A. Suslin and V. Voevodsky. Relative cycles and Chow sheaves. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl1019.14004MR1764199
31. [30] A. Suslin and V. Voevodsky. Bloch-Kato conjecture and motivic cohomology with finite coefficients. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl1005.19001
32. [31] V. Voevodsky. Homology of Schemes. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl0871.14016
33. [32] V. Voevodsky. Triangulated categories of motives over a field. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. Zbl1019.14009MR1764202
34. [33] V. Voevodsky. The Milnor Conjecture. Preprint. Zbl1182.14012

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