The rank of étale cohomology of varieties over p-adic or number fields
Soulé, C.
Compositio Mathematica, Tome 53 (1984), p. 113-131 / Harvested from Numdam
@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},
     volume = {53},
     year = {1984},
     pages = {113-131},
     mrnumber = {762310},
     zbl = {0589.14019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1984__53_1_113_0}
}
Soulé, C. The rank of étale cohomology of varieties over $p$-adic or number fields. Compositio Mathematica, Tome 53 (1984) pp. 113-131. http://gdmltest.u-ga.fr/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 575206 | Zbl 0475.14015

[2] S. Bloch and K. Kato: P-adic étale cohomology, preprint. | MR 849653 | Zbl 0613.14017

[3] W. Browder: Algebraic K-theory with coefficients Z/p, in Springer Lec. Notes in Maths. 657 (1978), 40-84. | MR 513541 | Zbl 0386.18011

[4] P. Deligne: La conjecture de Weil II. Publ. math. IHES 52 (1980) 137-252. | Numdam | MR 601520 | Zbl 0456.14014

[5] P. Deligne et al.: SGA IV 1 2, Cohomologie étale, exp. 1. Springer Lecture Notes in Maths. 568 (1977). | MR 463174 | Zbl 0345.00010

[6] B. Ferrero and L. Washington: The Iwasawa μp invariant vanishes for abelian number fields. Ann. Math. 109 (1979) 377-395. | MR 528968 | Zbl 0443.12001

[7] K. Iwasawa: On Zl-extensions of algebraic number fields. Ann. Math. 98 (1973) 246-326. | MR 349627 | Zbl 0285.12008

[8] K. Iwasawa: Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tohoku Math. Journal 33 (1981) 263-288. | MR 624610 | Zbl 0468.12004

[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 686108 | Zbl 0553.18006

[10] M. Katz and W. Messing: Some consequences of the Riemann hypothesis for varieties for finite fields. Invent. Math. 23 (1974) 73-77. | MR 332791 | Zbl 0275.14011

[11] C. Kratzer: λ-structure en K-théorie algébrique. Comm. Math. Helvetici 55 (1980) 233-254. | Zbl 0444.18008

[12] S. Lichtenbaum: On the values of zeta and L-functions I. Ann. Math. 96 (1972) 338-360. | MR 360527 | Zbl 0251.12002

[13] D. Quillen: Higher Algebraic K-theory. Proceedings of the International Congress of Mathematicians, Vancouver, 1974. | MR 422392 | Zbl 0359.18014

[14] P. Schneider; Über gewisse Galois Cohomologie Gruppen. Math. Zeitschrift 168 (1979) 181-205. | MR 544704 | Zbl 0421.12024

[15] J.-P. Serre: Cohomologie galoisienne. Springer Lecture Notes in Maths. 5 (1964). | Zbl 0812.12002

[16] C. Soulé: K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale. Inv. Math. 55 (1979) 251-295. | MR 553999 | Zbl 0437.12008

[17] C. Soulé: On higher p-adic regulators, in Springer Lectures Notes in Maths. 854 (1980) 372-401. | MR 618313 | Zbl 0488.12008

[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 686112 | Zbl 0558.12004

[19] J. Tate: p-divisible groups, in Proceedings of a Conf. on local fields (1967) Springer. | MR 231827 | Zbl 0157.27601

[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 0199.55604

[21] J. Tate: Duality theorems in Galois cohomology over number fields. Proc. Cong. Stockholm (1962) 288-295. | MR 175892 | Zbl 0126.07002