The rank of étale cohomology of varieties over p-adic or number fields
Compositio Mathematica, Tome 53 (1984) no. 1, pp. 113-131.
@article{CM_1984__53_1_113_0,
     author = {Soul\'e, C.},
     title = {The rank of \'etale cohomology of varieties over $p$-adic or number fields},
     journal = {Compositio Mathematica},
     pages = {113--131},
     publisher = {Martinus Nijhoff Publishers},
     volume = {53},
     number = {1},
     year = {1984},
     mrnumber = {762310},
     zbl = {0589.14019},
     language = {en},
     url = {http://www.numdam.org/item/CM_1984__53_1_113_0/}
}
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Soulé, C. The rank of étale cohomology of varieties over $p$-adic or number fields. Compositio Mathematica, Tome 53 (1984) no. 1, pp. 113-131. http://www.numdam.org/item/CM_1984__53_1_113_0/

[1] A. Beilinson: Higher regulators and values of L-functions of curves. Funk. Analysis 14 (2) (1980) 116-117. | MR | Zbl

[2] S. Bloch and K. Kato: P-adic étale cohomology, preprint.

[3] W. Browder: Algebraic K-theory with coefficients Z/p, in Springer Lec. Notes in Maths. 657 (1978), 40-84. | MR | Zbl

[4] P. Deligne: La conjecture de Weil II. Publ. math. IHES 52 (1980) 137-252. | EuDML | Numdam | MR | Zbl

[5] P. Deligne et al.: SGA IV 1 2, Cohomologie étale, exp. 1. Springer Lecture Notes in Maths. 568 (1977). | MR | Zbl

[6] B. Ferrero and L. Washington: The Iwasawa μp invariant vanishes for abelian number fields. Ann. Math. 109 (1979) 377-395. | MR | Zbl

[7] K. Iwasawa: On Zl-extensions of algebraic number fields. Ann. Math. 98 (1973) 246-326. | MR | Zbl

[8] K. Iwasawa: Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tohoku Math. Journal 33 (1981) 263-288. | MR | Zbl

[9] M. Karoubi: Connexions, courbures et classes caractéristiques en K-théorie algébrique. in Current Trends in Algebraic Topology, CMS Conference Proceedings, Vol. 2, Part 1 (1982) 19-29. | MR | Zbl

[10] M. Katz and W. Messing: Some consequences of the Riemann hypothesis for varieties for finite fields. Invent. Math. 23 (1974) 73-77. | MR | Zbl

[11] C. Kratzer: λ-structure en K-théorie algébrique. Comm. Math. Helvetici 55 (1980) 233-254. | Zbl

[12] S. Lichtenbaum: On the values of zeta and L-functions I. Ann. Math. 96 (1972) 338-360. | MR | Zbl

[13] D. Quillen: Higher Algebraic K-theory. Proceedings of the International Congress of Mathematicians, Vancouver, 1974. | MR | Zbl

[14] P. Schneider; Über gewisse Galois Cohomologie Gruppen. Math. Zeitschrift 168 (1979) 181-205. | MR | Zbl

[15] J.-P. Serre: Cohomologie galoisienne. Springer Lecture Notes in Maths. 5 (1964). | Zbl

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

[17] C. Soulé: On higher p-adic regulators, in Springer Lectures Notes in Maths. 854 (1980) 372-401. | MR | Zbl

[18] C. Soulé: On K-theory and values of zeta functions, in Current Trends in Algebraic Topology, CMS Conference Proceedings, Vol. 2, Part 1 (1982) 49->>59. | MR | Zbl

[19] J. Tate: p-divisible groups, in Proceedings of a Conf. on local fields (1967) Springer. | MR | Zbl

[20] J. Tate: On the conjectures of Birch and Swinnerton-Dyer and a geometric analog., Sem. Bourbaki (1965-1966), exposé 306, in Dix exposés sur la cohomologie des schémas (1968), North-Holland and Masson. | Numdam | Zbl

[21] J. Tate: Duality theorems in Galois cohomology over number fields. Proc. Cong. Stockholm (1962) 288-295. | MR | Zbl