p-adic etale cohomology
Bloch, Spencer ; Kato, Kazuya
Publications Mathématiques de l'IHÉS, Tome 64 (1986), p. 107-152 / Harvested from Numdam
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@article{PMIHES_1986__63__107_0,
     author = {Bloch, Spencer and Kato, Kazuya},
     title = {$p$-adic etale cohomology},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {64},
     year = {1986},
     pages = {107-152},
     mrnumber = {87k:14018},
     zbl = {0613.14017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_1986__63__107_0}
}

Bloch, Spencer; Kato, Kazuya. $p$-adic etale cohomology. Publications Mathématiques de l'IHÉS, Tome 64 (1986) pp. 107-152. http://gdmltest.u-ga.fr/item/PMIHES_1986__63__107_0/

[1] Bass, H., and Tate, J., The Milnor ring of a global field, in Algebraic K-theory, II, Springer Lecture Notes in Math., 342 (1972), 349-442. | MR 442061 | MR 56 #449 | Zbl 0299.12013

[2] Berthelot, P., Cohomologie cristalline des schémas de charactéristique p > 0, Springer Lecture Notes in Math., 407 (1974). | MR 384804 | MR 52 #5676 | Zbl 0298.14012

[3] Bloch, S., Algebraic K-theory and crystalline cohomology, Publ. Math. I.H.E.S., 47 (1974), 187-268. | Numdam | MR 81j:14011 | Zbl 0388.14010

[4] Bloch, S., Torsion algebraic cycles, K2, and Brauer groups of function fields, in Groupe de Brauer, Springer Lecture Notes in Math., 844 (1981), 75-102. | MR 611866 | MR 82k:14018 | Zbl 0467.12011

[5] Bloch, S., p-adic étale cohomology, in Arithmetic and Geometry, vol. I, 13-27, Birkhäuser (1983). | MR 717588 | MR 85b:14026 | Zbl 0584.14009

[6] Deligne, P. (with ILLUSIE, L.), Cristaux ordinaires et coordonnées canoniques, in Surfaces algébriques, Springer Lecture Notes in Math., 868 (1981), 80-137. | MR 638599 | MR 83k:14039a | Zbl 0537.14012

[7] Gabber, O., An injectivity property for étale cohomology, preprint, 1981. | Numdam | Zbl 0828.14011

[8] Gabber, O., Gersten's conjecture for some complexes of vanishing cycles, preprint, 1981. | Zbl 0827.19002

[9] Gabber, O., Affine analog of proper base change theorem, preprint, 1981. | Zbl 0816.13006

[10] Illusie, L., Complexe de De Rham-Witt et cohomologie cristalline, Ann. Sci. Ec. Norm. Sup., 4e sér., 12 (1979), 501-661. | Numdam | MR 82d:14013 | Zbl 0436.14007

[11] Kato, K., A generalization of local class field theory by using K-groups, II, J. Fac. Sci. Univ. Tokyo, 27 (1980), 603-683. | MR 83g:12020a | Zbl 0463.12006

[12] Kato, K., Galois cohomology of complete discrete valuation fields, in Algebraic K-theory, Springer Lecture Notes in Math., 967 (1982), 215-238. | MR 84k:12006 | Zbl 0506.12022

[13] Katz, N., Serre-Tate local moduli, in Surfaces algébriques, Springer Lecture Notes in Math., 868 (1981), 138-202. | MR 83k:14039b | Zbl 0477.14007

[14] Merkurjev, A. S., and Suslin, A. A., K-cohomology of Severi-Brauer varieties and norm residue homomorphism, Math. U.S.S.R. Izvestiya, 21 (1983), 307-340. | Zbl 0525.18008

[15] Milnor, J., Algebraic K-theory and quadratic forms, Inv. Math., 9 (1970), 318-344. | MR 41 #5465 | Zbl 0199.55501

[16] Serre, J.-P., Cohomologie Galoisienne, Springer Lecture Notes in Math., 5 (1965). | MR 34 #1328 | Zbl 0136.02801

[17] Soulé, C., K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inv. Math., 55 (1979), 251-295. | MR 81i:12016 | Zbl 0437.12008

[18] Tate, J., p-divisible groups, in Proceedings of a Conference on local fields, Springer-Verlag, 1967, 158-183. | MR 38 #155 | Zbl 0157.27601

[19] Tate, J., Relation between K2 Galois cohomology, Inv. Math., 36 (1976), 257-274. | MR 55 #2847 | Zbl 0359.12011

[20] Deligne, P., La conjecture de Weil, II, Publ. Math. I.H.E.S., 52 (1980), 313-428. | Numdam | MR 83c:14017 | Zbl 0456.14014

[21] Illusie, L., and Raynaud, M., Les suites spectrales associées au complexe de De Rham-Witt, Publ. Math. I.H.E.S., 57 (1983), 73-212. | Numdam | MR 85e:14026 | Zbl 0538.14012

[22] Serre, J.-P., Sur les corps locaux à corps résiduel algébriquement clos, Bull. Soc. Math. France, 8 (1961), 105-154. | Numdam | MR 26 #103 | Zbl 0166.31103