Unramified cohomology of classifying varieties for classical simply connected groups

 Access to full text

 Full (PDF)

1. [1] Blanchet A., Function fields of generalized Brauer–Severy varieties, Comm. Algebra19 (1991) 97-118. Zbl0717.16014MR1092553
2. [2] Bogomolov F.A., Brauer groups of the fields of invariants of algebraic groups, Mat. Sb.180 (2) (1989) 279-293. Zbl0759.14008MR993459
3. [3] Bourbaki N., Groupes et Algèbres de Lie, Chap. 4, 5, 6, Masson, Paris, 1981. Zbl0483.22001MR647314
4. [4] Colliot-Thélène J.-L., Sansuc J.-J., The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group), Notes from the 1988 ELAM conference, Santiago de Chile, http://www.math.u-psud.fr/~colliot/liste-publi.html. 
5. [5] Colliot-Thélène J.-L., Birational invariants purity, and the Gersten conjecture purity, in: Jacob W., Rosenberg A. (Eds.), Proceedings of the 1992 Summer Research Institute on Quadratic Forms and Division Algebras, Symposia Pure Math., 58.1, American Mathematical Society, Providence, RI, 1995, pp. 1-64. Zbl0834.14009MR1327280
6. [6] Demazure M., Grothendieck A., Schémas et Groupes III (SGA 3, Tome III), Lect. Notes in Math., 153, Springer, Heidelberg, 1970. Zbl0212.52810MR274458
7. [7] Esnault H., Kahn B., Levine M., Viehweg E., The Arason invariant and mod 2 algebraic cycles, J. Amer. Math. Soc.11 (1) (1998) 73-118. Zbl1025.11009MR1460391
8. [8] Garibaldi R., Tignol J.-P., Wadsworth A., Galois cohomology of special orthogonal groups, Manuscripta Math.93 (2) (1997) 247-266. Zbl1055.11512MR1464368
9. [9] Knus M.-A., Merkurjev A.S., Rost M., Tignol J.-P., The Book of Involutions, American Mathematical Society Colloquium Publications, 44, American Mathematical Society, Providence, RI, 1998. Zbl0955.16001MR1632779
10. [10] Lam T.-Y., The Algebraic Theory of Quadratic Forms, Benjamin, Reading, MA, 1973. Zbl0259.10019MR396410
11. [11] Merkurjev A.S., Invariants of algebraic groups, J. Reine Angew. Math.508 (1999) 127-156. Zbl0913.16010MR1676873
12. [12] Merkurjev A.S., Panin I.A., Wadsworth A., Index reduction formulas for twisted flag varieties, II, 14 (2) (1998) 101-196. Zbl0918.16013MR1628279
13. [13] Rost M., Chow groups with coefficients, Documenta Mathematica1 (1996) 319-393. Zbl0864.14002MR1418952
14. [14] Saltman D., The Brauer group and the center of generic matrices, J. Algebra97 (1) (1985) 53-67. Zbl0586.13005MR812169
15. [15] Saltman D., Invariant fields of linear groups and division algebras, in: Perspectives in Ring Theory (Antwerp, 1987), Kluwer Academic, 1988, pp. 279-297. Zbl0688.16020MR1048416
16. [16] Saltman D., Brauer groups of invariant fields, geometrically negligible classes, an equivariant Chow group, and unramified H3, in: Jacob W., Rosenberg A. (Eds.), Proceedings of the 1992 Summer Research Institute on Quadratic Forms and Division Algebras, Symposia Pure Math., 58.1, American Mathematical Society, Providence, RI, 1995, pp. 189-246. Zbl0827.13003MR1327283
17. [17] Saltman D., The Schur index and Moody's theorem, 7 (1993) 309-332. Zbl0801.16014MR1246280
18. [18] Serre J.-P., Letter to M. Rost, Harvard, Dec. 3, 1992. 
19. [19] Serre J.-P., Cohomologie galoisienne, Lect. Notes Math., 5, Springer-Verlag, Berlin, 1994. Zbl0812.12002MR1324577
20. [20] Serre J.-P., Cohomologie galoisienne: progrès et problèmes, Séminaire Bourbaki, Vol. 1993/94, Astérisque (1995), no. 227, Exp. No. 783, 4, 229–257. Zbl0837.12003MR1321649
21. [21] Tits J., Classification of algebraic semisimple groups, in: Borel A., Mostow G.D. (Eds.), Algebraic Groups and Discontinuous Subgroups, Proc. Symp. Pure Math., 9, 1966, pp. 33-62. Zbl0238.20052MR224710
22. [22] Tits J., Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque, J. Reine Angew. Math.247 (1971) 196-220. Zbl0227.20015MR277536
23. [23] Zariski O., Samuel P., Commutative Algebra. II, Graduate Texts in Mathematics, 29, Springer-Verlag, 1975. Zbl0313.13001