Absolute cohomological purity

R.W. Thomason

Bulletin de la Société Mathématique de France (1984)

  • Volume: 112, page 397-406
  • ISSN: 0037-9484

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Thomason, R.W.. "Absolute cohomological purity." Bulletin de la Société Mathématique de France 112 (1984): 397-406. <http://eudml.org/doc/87468>.

@article{Thomason1984,
author = {Thomason, R.W.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {purity conjecture; étale cohomology; comparison of topological and algebraic K-theory},
language = {eng},
pages = {397-406},
publisher = {Société mathématique de France},
title = {Absolute cohomological purity},
url = {http://eudml.org/doc/87468},
volume = {112},
year = {1984},
}

TY - JOUR
AU - Thomason, R.W.
TI - Absolute cohomological purity
JO - Bulletin de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 112
SP - 397
EP - 406
LA - eng
KW - purity conjecture; étale cohomology; comparison of topological and algebraic K-theory
UR - http://eudml.org/doc/87468
ER -

References

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  1. [1] ADAMS (J. F.). — On the groups J (X)-II, Topology, Vol. 3, 1965, pp. 137-171. Zbl0137.16801MR33 #6626
  2. [2] DWYER (W.), FRIEDLANDER (E.), SNAITH (V.) and THOMASON (R.). — Algebraic K-theory eventually surjects onto topological K-theory, Invent. Math., Vol. 66, 1982, pp. 481-491. Zbl0501.14013MR84i:14015
  3. [3] FRIEDLANDER (E.). — Etale K-theory I : Connections with etale cohomology and algebraic vector bundles, Invent. Math., Vol. 60, 1980, pp. 105-134. Zbl0519.14010MR82e:14029
  4. [4] FRIEDLANDER (E.). — Etale K-theory II : Connections with algebraic K-theory, Ann. Sci. Ec. Norm. Sup. 4e, Vol. 15, 1982, pp. 231-256. Zbl0537.14011MR85c:14014
  5. [5] GABBER (O.). — Some theorems on Azumaya algebras, Groups de Brauer, Springer, Lecture Notes in Math., Vol. 844, 1981, pp. 129-209. Zbl0472.14013MR83d:13004
  6. [6] GROTHENDIECK (A.). — Le groupe de Brauer III, Dix Exposés sur la Cohomologie des Schémas, North-Holland, 1968, pp. 88-188. Zbl0198.25901MR39 #5586c
  7. [7] QUILLEN (D.). — Higher algebraic K-theory I, Higher K-Theories, Springer, Lecture Notes in Math., Vol. 341, 1973, pp. 85-147. Zbl0292.18004MR49 #2895
  8. [8] SOULÉ (C.). — Operations on etale K-theory. Applications, Algebraic K-Theory : Oberwolfach 1980, Springer, Lecture Notes in Math., Vol. 966, 1982, pp. 271-303. Zbl0507.14013MR85b:18011
  9. [9] THOMASON (R.). — Algebraic K-Theory and Etale Cohomology, preprint, first edition, 1980 ; second edition, 1984. 
  10. [10] THOMASON (R.). — The Lichtenbaum-Quillen conjecture for K/l*[ȣ-1], Current Trends in Algebraic Topology, C.M.S. Conference Proceedings, Vol. 2, Part I, 1982, pp. 117-139. Zbl0563.14009MR84f:18024
  11. [11] THOMASON (R.). — Riemann-Roch for algebraic versus topological K-theory, J. Pure Applied Alg., Vol. 27, 1983, pp. 87-109. Zbl0545.14007MR85c:14013
  12. [12] THOMASON (R.). — Letter of Oct. 29, 1982 to Eric Friedlander. 
  13. [13] GROTHENDIECK (A.) and DIEUDONNÉ (J.). — Éléments de Géométrie Algébrique, IV, 4e, Publ. Math. I.H.E.S., Vol. 32, 1967. Zbl0153.22301
  14. [14] ARTIN (M.), GROTHENDIECK (A.) and VERDIER (J.). — SGA4 : Théorie de Topos et Cohomologie Étale des Schémas, Springer, Lecture Notes in Math., Vol. 269, 270, 305, 1972-1973. 
  15. [15] DELIGNE (P.) et al. — SGA 4 1/2 : Cohomologie Étale, Springer, Lecture Notes in Math., Vol. 569, 1977. Zbl0345.00010MR57 #3132
  16. [16] GROTHENDIECK (A.) et al. — SGA 5 : Cohomologie l-adic et Fonctions L, Springer, Lecture Notes in Math., Vol. 589, 1977. Zbl0345.00011

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