The rank of étale cohomology of varieties over -adic or number fields
Compositio Mathematica (1984)
- Volume: 53, Issue: 1, page 113-131
 - ISSN: 0010-437X
 
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topSoulé, C.. "The rank of étale cohomology of varieties over $p$-adic or number fields." Compositio Mathematica 53.1 (1984): 113-131. <http://eudml.org/doc/89674>.
@article{Soulé1984,
	author = {Soulé, C.},
	journal = {Compositio Mathematica},
	keywords = {arithmetic variety; Galois descent; étale cohomology groups; algebraic K-theory},
	language = {eng},
	number = {1},
	pages = {113-131},
	publisher = {Martinus Nijhoff Publishers},
	title = {The rank of étale cohomology of varieties over $p$-adic or number fields},
	url = {http://eudml.org/doc/89674},
	volume = {53},
	year = {1984},
}
TY  - JOUR
AU  - Soulé, C.
TI  - The rank of étale cohomology of varieties over $p$-adic or number fields
JO  - Compositio Mathematica
PY  - 1984
PB  - Martinus Nijhoff Publishers
VL  - 53
IS  - 1
SP  - 113
EP  - 131
LA  - eng
KW  - arithmetic variety; Galois descent; étale cohomology groups; algebraic K-theory
UR  - http://eudml.org/doc/89674
ER  - 
References
top- [1] A. Beilinson: Higher regulators and values of L-functions of curves. Funk. Analysis14 (2) (1980) 116-117. Zbl0475.14015MR575206
 - [2] S. Bloch and K. Kato: P-adic étale cohomology, preprint. MR849653
 - [3] W. Browder: Algebraic K-theory with coefficients Z/p, in Springer Lec. Notes in Maths.657 (1978), 40-84. Zbl0386.18011MR513541
 - [4] P. Deligne: La conjecture de Weil II. Publ. math. IHES52 (1980) 137-252. Zbl0456.14014MR601520
 - [5] P. Deligne et al.: SGA IV 1 2, Cohomologie étale, exp. 1. Springer Lecture Notes in Maths.568 (1977). MR463174
 - [6] B. Ferrero and L. Washington: The Iwasawa μp invariant vanishes for abelian number fields. Ann. Math.109 (1979) 377-395. Zbl0443.12001
 - [7] K. Iwasawa: On Zl-extensions of algebraic number fields. Ann. Math.98 (1973) 246-326. Zbl0285.12008MR349627
 - [8] K. Iwasawa: Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tohoku Math. Journal33 (1981) 263-288. Zbl0468.12004MR624610
 - [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. Zbl0553.18006MR686108
 - [10] M. Katz and W. Messing: Some consequences of the Riemann hypothesis for varieties for finite fields. Invent. Math.23 (1974) 73-77. Zbl0275.14011MR332791
 - [11] C. Kratzer: λ-structure en K-théorie algébrique. Comm. Math. Helvetici55 (1980) 233-254. Zbl0444.18008
 - [12] S. Lichtenbaum: On the values of zeta and L-functions I. Ann. Math.96 (1972) 338-360. Zbl0251.12002MR360527
 - [13] D. Quillen: Higher Algebraic K-theory. Proceedings of the International Congress of Mathematicians, Vancouver, 1974. Zbl0359.18014MR422392
 - [14] P. Schneider; Über gewisse Galois Cohomologie Gruppen. Math. Zeitschrift168 (1979) 181-205. Zbl0421.12024MR544704
 - [15] J.-P. Serre: Cohomologie galoisienne. Springer Lecture Notes in Maths.5 (1964). Zbl0812.12002
 - [16] C. Soulé: K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale. Inv. Math.55 (1979) 251-295. Zbl0437.12008MR553999
 - [17] C. Soulé: On higher p-adic regulators, in Springer Lectures Notes in Maths.854 (1980) 372-401. Zbl0488.12008MR618313
 - [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. Zbl0558.12004MR686112
 - [19] J. Tate: p-divisible groups, in Proceedings of a Conf. on local fields (1967) Springer. Zbl0157.27601MR231827
 - [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. Zbl0199.55604
 - [21] J. Tate: Duality theorems in Galois cohomology over number fields. Proc. Cong. Stockholm (1962) 288-295. Zbl0126.07002MR175892
 
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