Éléments cyclotomiques en $K$-théorie

Soulé, Christophe

Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 225-257

[1] H. Bass et J. Tate : The Milnor ring of a global field, Springer lecture Notes 342 (1973) pp. 349-446. | Zbl

[2] A. A. Beilinson : Régulateurs supérieurs et de valeurs de fonction $L$, Sovremennye Problemy Matematiki 24, Moscou, VINITI (1984), pp. 181-238 (en russe).

[3] S. Bloch : Higher regulators, Algebraic $K$-theory, and zeta functions of elliptic curves, Lecture Notes, U.C. Irvine (1977) (non publié). | Zbl

[4] A. Borel : Stable real cohomology of arithmetic groups, Ann. Sci. Ecole Norm. Sup. 7 (1974), pp. 235-272. | DOI | Zbl | EuDML | Numdam

[5] A. Borel : Cohomologie de $S{L}_n$ et valeurs de fonctions zêta, Ann. Scuola Normale Superiore, Ser. 4, 7 (1974), pp. 613-636. | Zbl | EuDML | Numdam

[6] W. Browder : Algebraic $K$-Theory with coefficients $\mathbb{Z}/p$, Springer Lecture Notes n° 657 (1978), pp. 40-84. | Zbl

[7] R. Coleman : Dilogarithms, Regulators and $p$-adic $L$-functions, Inv. Math. 69 (1982), pp. 171-208. | Zbl | EuDML | DOI

[8] P. Deligne : Lettre à S. Bloch, 2/2/1984.

[9] W. Dwyer, et E. Friedlander : Algebraic and étale $K$-Theory, preprint (1984). | Zbl

[10] B. Gross : On the values of Artin $L$-functions, (1979) (non-publié). | Zbl

[11] Y. Ihara : Profinite braid groups, Galois representations and complex multiplications, preprint (1984). | Zbl

[12] K. Iwasawa : Some modules in the theory of cyclotomic fields, Journal Math. Soc.of Japan 16 (1964), pp. 42-82. | Zbl | DOI

[13] K. Iwasawa : On ${\mathbb{Z}}_{\ell }$-extensions of algebraic number fields, Ann. of Maths. 98 (1973), pp. 246-326. | Zbl | DOI

[14] S. Lang : Cyclotomic fields I, Graduate Texts in Maths. 59 (1978), Springer-Verlag. | Zbl | DOI

[15] S. Lichtenbaum : The construction of weight-two arithmetic cohomology, preprint (1985). | Zbl

[16] J.-L. Loday : $K$-Théorie algébrique et représentations de groupes, Ann. Sci. Ec. Norm. Sup., 4ème série, 9 (1976), pp. 309-377. | DOI | Zbl | EuDML | Numdam

[17] B. Mazur et A. Wiles : Class fields of abelian extensions of $\mathbb{Q}$, Invent. Math. 76 (1984), pp. 179-330. | Zbl | EuDML | DOI

[18] J. Milnor : Introduction to Algebraic $K$-Theory, Annals of Maths. Studies 72 (1971). | Zbl

[19] D. Quillen : Cohomology of groups, Actes du Congrès International des Mathématiciens, Nice, t. 2 (1970), pp. 47-51. | Zbl

[20] D. Quillen : Algebraic $K$-theory I, Springer Lecture Notes N° 341 (1973), pp. 85-147. | Zbl

[21] D. Quillen : Finite generation of the groups $K_i$ of rings of algebraic integers, Springer Lecture Notes, N° 341 (1973), pp. 179-210. | Zbl

[22] P. Schneider : Über gewisse Galoiscohomologiegruppen, Math. Zeitschrift 168 (1979), pp. 181-205. | EuDML | Zbl | DOI

[23] C. Soulé : $K$-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inv. Math. 55 (1979), pp. 251-295. | Zbl | EuDML | DOI

[24] C. Soulé : On higher $p$-adic regulators, Springer Lecture Notes, N° 854 (1981), pp. 372-401. | Zbl

[25] C. Soulé : Groupes de Chow et $K$-théorie de variétés sur un corps fini, Math. Annalen 268 (1984), pp. 317-345. | EuDML | Zbl | DOI

[26] E. H. Spanier : Algebraic Topology, Mac Graw-Hill Series in Higher Mathematics (1966). | Zbl

[27] A. A. Suslin : On the $K$-theory of local fields, Journal of Pure and Applied Applied Algebra Vol. 34, N° 2-3 (1984), pp. 301-318. | Zbl | DOI

[28] J. Tate : $K_2$ and Galois cohomology, lettre a K -Iwasawa, Springer Lecture Notes N° 342 (1973), pp. 524-527. | Zbl

[29] J. Wagoner : Continuous cohomology and $p$-adic $K$-theory, Springer Lecture Notes, N° 551 (1976), pp. 241-248. | Zbl

[30] J. Wagoner : Analytic and étale $p$-adic regulators, preprint (1983).

[31] A. Wiles : On $p$-adic representations for totally real fields, preprint (1985) . | Zbl