Motivic complexes of Suslin and Voevodsky

Séminaire Bourbaki : volume 1996/97, exposés 820-834, Astérisque, no. 245 (1997), Exposé no. 833, 24 p.

EuDML 110235 | MR 1627118 | Zbl 0908.19005 | 2 citations dans Numdam

@incollection{SB_1996-1997__39__355_0,
     author = {Friedlander, Eric M.},
     title = {Motivic complexes of Suslin and Voevodsky},
     booktitle = {S\'eminaire Bourbaki : volume 1996/97, expos\'es 820-834},
     author = {Collectif},
     series = {Ast\'erisque},
     note = {talk:833},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {245},
     year = {1997},
     zbl = {0908.19005},
     mrnumber = {1627118},
     language = {en},
     url = {http://archive.numdam.org/item/SB_1996-1997__39__355_0/}
}

Friedlander, Eric M. Motivic complexes of Suslin and Voevodsky, dans Séminaire Bourbaki : volume 1996/97, exposés 820-834, Astérisque, no. 245 (1997), Exposé no. 833, 24 p. http://archive.numdam.org/item/SB_1996-1997__39__355_0/

Bibliographie

[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. | Article | MR 139181 | Zbl 0108.17705

[2] A. Beilinson. Letter to C. Soulé, 1982.

[3] A. Beilinson. Higher regulators and values of $L$ -functions. Current Problems in Mathematics, 24 (1984), 181-238. | MR 760999 | Zbl 0588.14013

[4] A. Beilinson. Height pairing between algebraic cycles. In $K$ -Theory, Arithmetic and Geometry, Moscow 1984-86, Lecture Notes in Math 1289, Springer-Verlag (1987), 1-26. | MR 923131 | Zbl 0651.14002

[5] S. Bloch. Algebraic cycles and higher $K$ -theory. Adv. in Math 61 (1986), 267-304. | Article | MR 852815 | Zbl 0608.14004

[6] S. Bloch and S. Lichtenbaum. A spectral sequence for motivic cohomology. Preprint

[7] A. Dold and R. Thorn, Quasifaserungen und unendliche symmetrische produckte. Annals of Math, 68 (1958), 239-281. | Article | MR 97062 | Zbl 0091.37102

[8] W. Dwyer and E. Friedlander. Algebraic and etale $K$ -theory. Trans. A. M.S., 292 (1985), 247-280. | MR 805962 | Zbl 0581.14012

[9] E. Friedlander. Algebraic cocycles on quasi-projective varieties. Compositio Math. (1997). | Zbl 0915.14004

[10] E. Friedlander, O. Gabber. Cycle spaces and intersection theory. In Topological Methods in Modern Mathematics, (1993), 325-370. | MR 1215970 | Zbl 0830.14008

[11] E. Friedlander and H. B. Lawson. A theory of algebraic cocycles. Annals of Math, 136 (1992), 361-428. | Article | MR 1185123 | Zbl 0788.14014

[12] E. Friedlander and H. B. Lawson. Duality relating spaces of algebraic cocycles and cycles. Topology, 36 (1997), 533-565. | Article | MR 1415605 | Zbl 0889.14004

[13] E. Friedlander and H. B. Lawson. Moving algebraic cycles of bounded degree. Inventiones Math. | MR 1618633 | Zbl 0936.14005

[14] E. Friedlander and V. Voevodsky. Bivariant cycle homology. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. | MR 1764201 | Zbl 1019.14011

[15] W. Fulton Intersection Theory, Ergebnisee, Springer-Verlag 1984 | Article | MR 732620 | Zbl 0541.14005

[16] H. Gillet and C. Soulé. Descent, motives and $K$ -theory. J. reine angew Math, 478 (1996), 127-176. | EuDML 153849 | MR 1409056 | Zbl 0863.19002

[17] A. Grothendieck, P. Berthelot, and L. Illusie. SGA 6, Lecture Notes in Mathematics 225, Springer 1971. | MR 354655 | Zbl 0218.14001

[18] H. B. Lawson. Algebraic cycles and homotopy theory. Annals of Math, 129 (1989), 253-291. | Article | MR 986794 | Zbl 0688.14006

[19] M. Levine. Relative Milnor $K$ -theory. $K$ -Theory, 6 (1992), 113-175. | Article | MR 1187704 | Zbl 0780.19005

Correction: $K$ - Theory, 9 (1995), 503-505. | MR 1357797 | Zbl 0836.19003

[20] M. Levine. Bloch's higher Chow groups revisited. Astérisque 210 (1994), 235-320. | Numdam | MR 1317122 | Zbl 0817.19004

[21] M. Levine. Motivic cohomology and algebraic cycles: a categorical construction, I. Preprint (1993).

[22] S. Lichtenbaum. Values of zeta-functions at non-negative integers. In Number Theory, Lecture Notes in Math 1068, Springer-Verlag (1983), 127-138. | MR 756089 | Zbl 0591.14014

[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 topology 1989, Kluwer Acad Publ, 241-342. | MR 1045853 | Zbl 0715.14009

[24] Yu. P. Nesternko and A. Suslin. Homology of the general linear group over a local ring and Milnor K-theory. Izv AN SSSR. | Zbl 0668.18011

[25] C. Soulé. Opérations en $K$ -théorie algébrique. Canad. J. Math 37 (1985), 488-550. | Article | MR 787114 | Zbl 0575.14015

[26] A. Suslin. On the $K$ -theory of algebraically closed fields. Inventiones Math 73 (1983), 241-245. | Article | EuDML 143044 | MR 714090 | Zbl 0514.18008

[27] A. Suslin. Higher Chow groups and etale cohomology. In: Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. | MR 1764203 | Zbl 1019.14001

[28] A. Suslin and V. Voevodsky. Singular homology of abstract algebraic varieties. Inventiones Math 123 (1996), 61-94. | Article | EuDML 144336 | MR 1376246 | Zbl 0896.55002

[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. | MR 1764199 | Zbl 1019.14004

[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. | Zbl 1005.19001

[31] V. Voevodsky. Homology of Schemes. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. | MR 1764197 | Zbl 1021.14006

[32] V. Voevodsky. Triangulated categories of motives over a field. In Cycles, Transfers and Motivic Homology Theories, Annals of Math Studies, Princeton Univ. Press. | MR 1764202 | Zbl 1019.14009

[33] V. Voevodsky. The Milnor Conjecture. Preprint.