@article{ASENS_2002_4_35_6_773_0,
author = {Friedlander, Eric M. and Suslin, Andrei},
title = {The spectral sequence relating algebraic $K$-theory to motivic cohomology},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {35},
year = {2002},
pages = {773-875},
doi = {10.1016/s0012-9593(02)01109-6},
zbl = {1047.14011},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_2002_4_35_6_773_0}
}
Friedlander, Eric M.; Suslin, Andrei. The spectral sequence relating algebraic $K$-theory to motivic cohomology. Annales scientifiques de l'École Normale Supérieure, Tome 35 (2002) pp. 773-875. doi : 10.1016/s0012-9593(02)01109-6. http://gdmltest.u-ga.fr/item/ASENS_2002_4_35_6_773_0/
[1] , Algebraic K-Theory, W.A. Benjamin, 1968. | MR 249491 | Zbl 0174.30302
[2] Beilinson A., Letter to C. Soulé (1982).
[3] , Algebraic cycles and higher K-theory, Adv. in Math. 61 (1986) 267-304. | MR 852815 | Zbl 0608.14004
[4] , The moving lemma for higher Chow groups, J. Algebraic Geom. 3 (1994) 537-568. | MR 1269719 | Zbl 0830.14003
[5] Bloch S., Lichtenbaum S., A spectral sequence for motivic cohomology, Preprint.
[6] , General Topology, Springer-Verlag, 1989.
[7] , , Homotopy theory of Γ-spaces, spectra, and bisimplicial sets, in: Geometric Applications of Homotopy Theory II, Lecture Notes in Math., 658, Springer-Verlag, 1978, pp. 80-130. | Zbl 0405.55021
[8] , Algebraic K-theory with coefficients Z/p, in: Geometric Applications of Homotopy Theory, Lecture Notes in Math., 657, Springer-Verlag, 1978, pp. 40-84. | MR 513541 | Zbl 0386.18011
[9] , , Algebraic K-theory as generalized sheaf cohomology, in: Algebraic K-theory, I: Higher K-theories, Lecture Notes in Math., 341, Springer-Verlag, 1973, pp. 266-292. | MR 347943 | Zbl 0291.18017
[10] , , Bivariant cycle cohomology, in: , , (Eds.), Cycles, Transfers and Motivic Homology Theories, Annals of Math. Studies, 143, 2000, pp. 138-187. | MR 1764201 | Zbl 1019.14011
[11] , Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1958. | MR 102797 | Zbl 0080.16201
[12] , Weight filtrations via commuting automorphisms, K-Theory 9 (1995) 139-172. | MR 1340843 | Zbl 0826.19003
[13] , Generalized étale cohomology theories, Birkhäuser Verlag, Basel, 1997. | MR 1437604 | Zbl 0868.19003
[14] , A pullback theorem for cofibrations, Manuscripta Math. 58 (1987) 381-384. | MR 893162 | Zbl 0617.55002
[15] , Some filtrations on higher K-theory and related invariants, K-theory 6 (1992) 431-457. | MR 1194843 | Zbl 0774.14006
[16] , Techniques of localization in the theory of algebraic cycles, J. Algebraic Geom. 10 (2001) 299-363. | MR 1811558 | Zbl 1077.14509
[17] , A union theorem for cofibrations, Arch. Math. 24 (1973) 410-415. | MR 334193 | Zbl 0274.55008
[18] , Products in exact couples, Ann. Math. 59 (1954) 558-569. | MR 60829 | Zbl 0057.15204
[19] , Homology, Springer-Verlag, 1963. | MR 156879 | Zbl 0133.26502
[20] , Simplicial Objects in Algebraic Topology, University of Chicago Press, 1967. | Zbl 0769.55001
[21] , , A1-homotopy theory of schemes, Publ. Math. IHES 90 (2001) 45-143. | Numdam | MR 1813224 | Zbl 0983.14007
[22] , Multiplications on the Moore spectrum, Mem. Fac. Sci Kyushu, Ser. A 38 (1984) 257-276. | MR 760188 | Zbl 0552.55009
[23] , Bemerkungen über die Erweiterung von Homotopien, Arch. Math. 18 (1967) 81-88. | MR 206954 | Zbl 0149.20101
[24] , Homotopical Algebra, Lecture Notes in Math., 43, Springer-Verlag, 1967. | MR 223432 | Zbl 0168.20903
[25] , Higher algebraic K-theory: I, in: Algebraic K-theory, I: Higher K-theories, Lecture Notes in Math., 341, Springer-Verlag, 1973, pp. 85-147. | MR 338129 | Zbl 0292.18004
[26] , Categories and cohomology theories, Topology 13 (1974) 293-312. | MR 353298 | Zbl 0284.55016
[27] , Algèbre locale multiplicités, Lecture Notes in Math., 341, Springer-Verlag, 1975. | MR 201468 | Zbl 0296.13018
[28] , The homotopy category is a homotopy category, Arch. Math. 23 (1972) 435-441. | MR 321082 | Zbl 0261.18015
[29] , Higher Chow groups and étale cohomology, in: , , (Eds.), Cycles, Transfers and Motivic Homology Theories, Annals of Math. Studies, 143, 2000, pp. 237-252. | MR 1764203 | Zbl 1019.14001
[30] , , Singular homology of abstract algebraic varieties, Invent. Math. 123 (1996) 61-94. | MR 1376246 | Zbl 0896.55002
[31] , , Bloch-Kato conjecture and motivic cohomology with finite coefficients, in: The Arithmetic and Geometry of Algebraic Cycles (Banff, AB, 1998), NATO Sci. Ser. C Math. Phys. Sci., 548, 1998, pp. 117-189. | MR 1744945 | Zbl 1005.19001
[32] Thomason R., Trobaugh T., Higher algebraic K-theory of schemes and of derived categories, in: The Grothendieck Festschrift, Vol. III, in: Progr. Math., Vol. 88, pp. 247-435. | MR 1106918
[33] , Cohomological theory of presheaves with transfers, in: , , (Eds.), Cycles, Transfers and Motivic Homology Theories, Annals of Math. Studies, 143, 2000, pp. 87-137. | MR 1764200 | Zbl 1019.14010
[34] , Triangulated category of motives over a field, in: , , (Eds.), Cycles, Transfers and Motivic Homology Theories, Annals of Math. Studies, 143, 2000, pp. 188-238. | MR 1764202 | Zbl 1019.14009
[35] Voevodsky V., Motivic cohomology are isomorphic to higher Chow groups, Preprint.
[36] Voevodsky V., Mazza C., Weibel C., Lectures on motivic cohomology, Preprint.
[37] , Algebraic K-theory of spaces, in: Algebraic and Geometric Topology (New Brunswick, NJ, 1983), Lecture Notes in Math., 1126, Springer-Verlag, 1985, pp. 318-419. | MR 802796 | Zbl 0579.18006
[38] , An Introduction to Homological Algebra, Cambridge University Press, 1994. | MR 1269324 | Zbl 0797.18001
[39] , Products in higher Chow groups and motivic cohomology, in: Algebraic K-theory (Seattle, WA, 1997), Proceedings of Symposia in Pure Math., 67, 1999, pp. 305-315. | MR 1743246 | Zbl 0942.19003
[40] , Elements of Homotopy Theory, Springer-Verlag, 1978. | MR 516508 | Zbl 0406.55001