La conjecture de Milnor

 Access to full text

 Full (PDF)

1. [1] J. ArasonCohomologische Invarianten quadratischer Formen, J. Alg.36 (1975), 448- 491. Zbl0314.12104MR389761
2. [2] M. ArtinBrauer-Severi varieties, Lect. Notes in Math.917, Springer, 1982, 194-210. Zbl0536.14006MR657430
3. [3] A. BorelLinear algebraic groups (2e édition), Springer, 1991. Zbl0726.20030MR1102012
4. [4] A. Bousfield, E. FriedlanderHomotopy theory of Γ-spaces, spectra and bisimplicial sets, Lect. Notes in Math.658, Springer, 1978, 80-130. Zbl0405.55021
5. [5] H. Bass, J. TateThe Milnor ring of a global field, Lect. Notes in Math.342, Springer, 1973, 349-428. Zbl0299.12013MR442061
6. [6] S. BlochLectures on algebraic cycles, Duke Univ. Lectures Series, 1982. Zbl0436.14003MR558224
7. [7] S. Bloch, K. Katop-adic étale cohomology, Publ. Math. I.H.E.S.63 (1986), 107-152. Zbl0613.14017MR849653
8. [8] F. ChâteletVariations sur un thème de H. Poincaré, Ann. Sci. Ec. Norm. Sup.61 (1944),249-300. Zbl0063.00801MR14720
9. [9] M. DemazureAutomorphismes et déformations des variétés de Borel, Invent. Math.39 (1977), 179-186. Zbl0406.14030MR435092
10. [10] E. Devinatz, M. Hopkins, J. SmithNilpotence and stable homotopy theory, I, Ann. of Math.128 (1988), 207-241. Zbl0673.55008MR960945
11. [11] D. Elman, T.Y. LamPfister forms and K-theory of fields, J. Alg.23 (1972), 181- 213. Zbl0246.15029MR302739
12. [12] E. Friedlander, V. VoevodskyBivariant cycle cohomology, prépublication, 1995. 
13. [13] J.-P. JouanolouUne suite exacte de Mayer-Vietoris en K-théorie algébrique, Lect. Notes in Math.341, Springer, 1973, 293-316. Zbl0291.14006MR409476
14. [14] K. KatoA generalization of higher class field theory by using K-groups, I, J. Fac. Sci., Univ. Tokyo26 (1979), 303-376. Zbl0428.12013MR550688
15. [15] K. KatoMilnor K-theory and the Chow group of zero cycles, Contemp. Math.55 (I), AMS, 1986, 241-253. Zbl0603.14009MR862638
16. [16] T.Y. LamThe algebraic theory of quadratic forms (2ème édition), Benjamin, 1980. Zbl0259.10019MR396410
17. [17] M. KnebuschGeneric splitting of quadratic forms, I, Proc. London Math. Soc.33 (1976), 65-93. Zbl0351.15016MR412101
18. [18] A.S. MerkurjevSur le symbole de résidu normique de degré 2 (en russe), Dokl. Akad. Nauk SSSR261 (1981), 542-547. Traduction anglaise : Soviet Math. Dokl.24 (1981), 546-551. 
19. [19] A.S. MerkurjevOn the norm residue homomorphism for fields, Amer. Math. Soc. Transl.174 (1996), 49-71. Zbl0876.12005MR1386651
20. [20] A.S. Merkurjev, A.A. SuslinK-cohomologie des variétés de Severi-Brauer et homomorphisme de résidu normique (en russe), Izv. Akad. Nauk SSSR, 46 (1982), 1011- 1046. Traduction anglaise : Math USSR Izv.21 (1983), 307-340. Zbl0525.18008
21. [21] A.S. Merkurjev, A.A. SuslinL'homomorphisme de résidu normique de degré 3 (en russe), Izv. Akad. Nauk SSSR54 (1990), 339-356. Traduction anglaise : Math. USSR Izv.36 (1991), 349-368. Zbl0716.19002
22. [22] J. MilnorAlgebraic K-theory and quadratic forms, Invent. Math.9 (1970), 315-344. Zbl0199.55501MR260844
23. [23] J. MilnorAn introduction to algebraic K-theory, Ann. Math. Studies72, Princeton University Press, 1971. Zbl0237.18005MR349811
24. [24] J. Milnor, J. StasheffCharacteristic classes, Ann. Math. Studies76, Princeton University Press, 1974. Zbl0298.57008MR440554
25. [25] F. MorelThéorie de l'homotopie et motifs, I, prépublication, 1995. 
26. [26] F. Morel, V. VoevodskyHomotopy category of schemes over a base, en préparation. 
27. [27] Y. NisnevichThe completely decomposed topology on schemes and the associated descent spectral sequences in algebraic K-theory, in Algebraic K-theory : connections with geometry and topology, (J.F. Jardine, V.P. Snaith, eds.), NATO ASI Series, Ser. C279 (1989), 241-342. Zbl0715.14009MR1045853
28. [28] D. Orlov, A. Vishik, V. VoevodskyMotivic cohomology of Pfister quadrics, en préparation. 
29. [29] D. QuillenHornotapical algebra, Lect. Notes in Math.43, Springer, 1967. Zbl0168.20903MR223432
30. [30] D. RavenelComplex cobordism and stable homotopy groups of spheres, Acad. Press, 1986. Zbl0608.55001MR860042
31. [31] D. RavenelThe nilpotence and periodicity theorems in stable homotopy theory, Séminaire Bourbaki, juin 1990, exposé n° 728, Astérisque189-190 (1990), 399-428. Zbl0728.55003MR1099883
32. [32] D. RavenelNilpotence and periodicity in stable homotopy theory, Ann. Math. Studies128, Princeton University Press, 1992. Zbl0774.55001MR1192553
33. [33] M. RostHilbert's theorem 90 for KM3 for degree-two extensions, prépublication, 1986. 
34. [34] M. RostOn the spinornorm and A0(X, K1) for quadrics, prépublication, 1988. 
35. [35] M. RostSome new results on the Chowgroups of quadrics, prépublication, 1990. 
36. [36] M. RostChow groups with coefficients, Documenta Math.1 (1996), 319-393. Zbl0864.14002MR1418952
37. [37] D. SaltmanRetract rational fields and cyclic Galois extensions, Isr. J. Math.47 (1984),165-215. Zbl0546.14013MR738167
38. [38] J.-P. SerreCohomologie galoisienne (nouvelle édition), Lect. Notes in Math.5, Springer, 1994. Zbl0812.12002MR1324577
39. [39] C. SouléK2 et le groupe de Brauer, Séminaire Bourbaki, novembre 1982, exposé n° 601, Astérisque105-106 (1983), 79-93. Zbl0535.14005MR728982
40. [40] N. Spaltenstein, Resolutions of unbounded complexes, Compositio Math.65 (1988), 121-154. Zbl0636.18006MR932640
41. [41] A. SuslinL'homomorphisme quaternionique pour le corps des fonctions d'une conique (en russe), Dokl. Akad. Nauk SSSR.265 (1982), 292-296. Traduction anglaise : Soviet Math. Dokl.26 (1982), 72-77. Zbl0517.13007
42. [42] A. Suslin, V. VoevodskyBloch-Kato conjecture and motivic cohomology with finite coefficients, prépublication, 1995. 
43. [43] J. TateRelations between K2 and Galois cohomology, Invent. Math.36 (1976), 257- 274. Zbl0359.12011MR429837
44. [44] V. VoevodskyHomology of schemes, II, prépublication, 1993. 
45. [45] V. VoevodskyTriangulated categories of motives over a field, prépublication, 1994. 
46. [46] V. VoevodskyBloch-Kato conjecture for Z/2-coefficients and algebraic Morava K-theories, prépublication, 1995. 
47. [47] V. VoevodskyCohomological operations in motivic cohomology, en préparation. 
48. [48] V. VoevodskyThe Milnor conjecture, prépublication, 1996. 
49. [49] A. WadsworthMerkurjev's elementary proof of Merkurjev's theorem, Contemp. Math.55 (II), AMS, 1986, 741-776. Zbl0604.16022MR862663
50. [50] S. WangOn the commutator subgroup of a simple algebra, Amer. J. Math.72 (1950), 323-334. Zbl0040.30302MR34380

1. Vladimir Voevodsky, Motivic cohomology with $𝐙/2$-coefficients