Kurihara, Masato
Some remarks on conjectures about cyclotomic fields and K-groups of 𝐙
Compositio Mathematica, Tome 81 (1992) no. 2 , p. 223-236
Zbl 0747.11055 | MR 1145807 | 4 citations dans Numdam
URL stable : http://www.numdam.org/item?id=CM_1992__81_2_223_0

Bibliographie

[1] Beilinson, A.A.: Polylogarithm and cyclotomic elements, preprint (1990).

[2] Bloch, S. and Kato, K.: L-functions and Tamagawa numbers of motives, in The Grothendieck Festschrift Vol I, Progress in Math. Vol. 86, Birkhäuser (1990), 333-400. MR 1086888 | Zbl 0768.14001

[3] Coleman, R.F.: Anderson-Ihara theory: Gauss sums and circular units, in Algebraic Number Theory (in honor of K. Iwasawa), Adv. Studies in Pure Math. 17 (1989), 55-72. MR 1097609 | Zbl 0733.14012

[4] Deligne, P.: Le groupe fondamental de la droite projective moins trois points, in Galois groups over Q, Publ. MSRI, no. 16, Springer-Verlag (1989), 79-298. MR 1012168 | Zbl 0742.14022

[5] Dwyer, W.G. and Friedlander, E.M.: Algebraic and etale K-theory, Trans, AMS 292(1) (1985), 247-280. MR 805962 | Zbl 0581.14012

[6] Greenberg, R.: On the Jacobian variety of some algebraic curves, Comp. Math. 42 (1981), 345-359. Numdam | MR 607375 | Zbl 0475.14026

[7] Ihara, Y.: Profinite braid groups, Galois representations and complex multiplications, Ann. Math. 123 (1986), 43-106. MR 825839 | Zbl 0595.12003

[8] Ihara, Y., Kaneko, M., and Yukinari, A.: On some properties of the universal power series for Jacobi sums, Adv. Studies in Pure Math. 12 (1987), 65-86. MR 948237 | Zbl 0642.12012

[9] Iwasawa, K.: A class number formula for cyclotomic fields, Ann. Math. 76 (1962), 171-179. MR 154862 | Zbl 0125.02003

[10] Kolyvagin, V.A.: Euler systems, to appear in The Grothendieck Festschrift Vol. II. MR 1106906 | Zbl 0742.14017

[11] Lee, R. and Szczarba, R.H.: On the torsion in K4(Z) and K5(Z) with Addendum by C. Soulé, Duke Math. 45 (1978), 101-132. Zbl 0385.18009

[12] Lichtenbaum, S.:Values of zeta functions, étale cohomology, and algebraic K-theory, in Lect. Notes in Math. 342, Springer-Verlag (1973), 489-501. MR 406981 | Zbl 0284.12005

[13] Quillen, D.: Letter from Quillen to Milnor on Im(π iO→πsi→KiZ), July 26, 1972, in Lecture Notes in Math. 551, Springer-Verlag (1976), 182-188. Zbl 0351.55003

[14] Rubin, K.: The main conjecture: Appendix to Cyclotomic Fields (Combined Second Edition) by S. Lang, Graduate Texts in Math. Vol. 121, Springer-Verlag (1990). MR 1029028 | Zbl 0704.11038

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

[16] Soulé, C.: On higher p-adic regulators, in Lecture Notes in Math. 854, Springer-Verlag (1981), 372-401. MR 618313 | Zbl 0488.12008

[17] Soulé, C.: Éléments cyclotomiques en K-thérie, Astérisque 147-148 (1987), 225-257. MR 891430 | Zbl 0632.12014

[18] Suslin, A.A.: Stability in Algebraic K-theory, in Lect. Notes in Math. 966, Springer-Verlag (1982), 304-333. MR 689381 | Zbl 0498.18008

[19] Tate, J.: Relations between K2 and Galois cohomology, Invent. Math. 36 (1976), 257-274. MR 429837 | Zbl 0359.12011

[20] Vandiver, H.S.: A property of cyclotomic integers and its relation to Fermat's last theorem, Ann. Math. 26 (1924-25), 217-232. JFM 51.0136.01

[21] Washington, L.C.: Introduction to Cyclotomic Fields, Graduate Texts in Math. Vol. 83, Springer-Verlag (1980). MR 1421575 | Zbl 0484.12001

[22] Wiles, A.: The Iwasawa conjecture for totally real fields, Ann. Math. 131 (1990), 493-540. MR 1053488 | Zbl 0719.11071