Some remarks on conjectures about cyclotomic fields and $K$-groups of $𝐙$

 Access to full text

 Full (PDF)

1. [1] Beilinson, A.A.: Polylogarithm and cyclotomic elements, preprint (1990). 
2. [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. Zbl0768.14001MR1086888
3. [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. Zbl0733.14012MR1097609
4. [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. Zbl0742.14022MR1012168
5. [5] Dwyer, W.G. and Friedlander, E.M.: Algebraic and etale K-theory, Trans, AMS292(1) (1985), 247-280. Zbl0581.14012MR805962
6. [6] Greenberg, R.: On the Jacobian variety of some algebraic curves, Comp. Math.42 (1981), 345-359. Zbl0475.14026MR607375
7. [7] Ihara, Y.: Profinite braid groups, Galois representations and complex multiplications, Ann. Math.123 (1986), 43-106. Zbl0595.12003MR825839
8. [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. Zbl0642.12012MR948237
9. [9] Iwasawa, K.: A class number formula for cyclotomic fields, Ann. Math.76 (1962), 171-179. Zbl0125.02003MR154862
10. [10] Kolyvagin, V.A.: Euler systems, to appear in The Grothendieck Festschrift Vol. II. Zbl0742.14017MR1106906
11. [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. Zbl0385.18009
12. [12] Lichtenbaum, S.:Values of zeta functions, étale cohomology, and algebraic K-theory, in Lect. Notes in Math.342, Springer-Verlag (1973), 489-501. Zbl0284.12005MR406981
13. [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. Zbl0351.55003
14. [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). Zbl0704.11038MR1029028
15. [15] Soulé, C.: K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Invent. Math.55 (1979), 251-295. Zbl0437.12008MR553999
16. [16] Soulé, C.: On higher p-adic regulators, in Lecture Notes in Math.854, Springer-Verlag (1981), 372-401. Zbl0488.12008MR618313
17. [17] Soulé, C.: Éléments cyclotomiques en K-thérie, Astérisque147-148 (1987), 225-257. Zbl0632.12014MR891430
18. [18] Suslin, A.A.: Stability in Algebraic K-theory, in Lect. Notes in Math.966, Springer-Verlag (1982), 304-333. Zbl0498.18008MR689381
19. [19] Tate, J.: Relations between K2 and Galois cohomology, Invent. Math.36 (1976), 257-274. Zbl0359.12011MR429837
20. [20] Vandiver, H.S.: A property of cyclotomic integers and its relation to Fermat's last theorem, Ann. Math.26 (1924-25), 217-232. Zbl51.0136.01JFM51.0136.01
21. [21] Washington, L.C.: Introduction to Cyclotomic Fields, Graduate Texts in Math. Vol. 83, Springer-Verlag (1980). Zbl0484.12001MR1421575
22. [22] Wiles, A.: The Iwasawa conjecture for totally real fields, Ann. Math.131 (1990), 493-540. Zbl0719.11071MR1053488

1. Georgios Pappas, Cubic structures and ideal class groups
2. Grzegorz Banaszak, Generalization of the Moore exact sequence and the wild kernel for higher K-groups
3. Thong Nguyen Quang Do, Analogues supérieurs du noyau sauvage
4. Pavlos Tzermias, Arithmetic of cyclic quotients of the Fermat quintic
5. David Grant, Delphy Shaulis, The cuspidal torsion packet on hyperelliptic Fermat quotients