Abstract
The general idea of motivic cohomology as a universal cohomology theory on the category of schemes goes back to Grothendieck. But it was not until 1982 that this general idea got a precise form. Around that time Beilinson formulated his famous conjectures.
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References
S. Bloch, Algebraic cycles and higher K-theory, Adv. in Math. 61 (1986), 267–304.
S. Bloch, The moving lemma for higher Chow groups, J. Alg. Geom., to appear.
S. Bloch and S. Lichtenbaum, A spectral sequence for motivic cohomology, preprint 1994.
E. Friedlander and O. Gabber, Cycle spaces and intersection theory, in Topological Methods in Modern Mathematics (1993), pp. 325–370.
E. Friedlander and H. B. Lawson, A theory of algebraic cocycles, Ann. of Math. (2) 136 (1992), 361–428.
E. Friedlander and V. Voevodsky, Bivariant cycle cohomoloqy, preprint 1994.
D. Grayson, Weight filtration via commuting automorphisms, preprint 1993.
S. Lichtenbaum, Suslin homology and Deligne 1-motives, preprint 1992.
Yu. Nesterenko and A. Suslin, Homology of the general linear group over a local ring and Milnor K-theory, Izv. Akad. Nauk SSSR 53 (1989), 121–146; English translation in Soviet Math. Iz. (vuz).
A. Suslin, Algebraic K-theory of fields, in Proceedings of ICM-86 Berkeley, pp. 222–244.
——, Higher Chow groups and etale cohomology, preprint 1993.
A. Suslin and V. Voevodsky, Singular homology of abstract algebraic varieties, Invent. Math., to appear.
——, Relative cycles and Chow sheaves, preprint 1994.
R. W. Thomason, Algebraic K-theory and etale cohomology, Ann. Sci. Ecole Norm. Sup. (4) 13 (1985), 437–552.
V. Voevodsky, Homology of schemes and covariant motives, Harvard Univ. Ph.D. thesis 1992.
——, Homology of schemes II, preprint 1993.
——, Homology of schemes III, preprint 1994.
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© 1995 Birkhäser Verlag, Basel, Switzerland
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Suslin, A. (1995). Algebraic K-Theory and Motivic Cohomology. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_28
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DOI: https://doi.org/10.1007/978-3-0348-9078-6_28
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