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

Masato Kurihara

Compositio Mathematica (1992)

  • Volume: 81, Issue: 2, page 223-236
  • ISSN: 0010-437X

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Kurihara, Masato. "Some remarks on conjectures about cyclotomic fields and $K$-groups of $\mathbf {Z}$." Compositio Mathematica 81.2 (1992): 223-236. <http://eudml.org/doc/90137>.

@article{Kurihara1992,
author = {Kurihara, Masato},
journal = {Compositio Mathematica},
keywords = {Kummer-Vandiver conjecture; Quillen -theory; Euler systems},
language = {eng},
number = {2},
pages = {223-236},
publisher = {Kluwer Academic Publishers},
title = {Some remarks on conjectures about cyclotomic fields and $K$-groups of $\mathbf \{Z\}$},
url = {http://eudml.org/doc/90137},
volume = {81},
year = {1992},
}

TY - JOUR
AU - Kurihara, Masato
TI - Some remarks on conjectures about cyclotomic fields and $K$-groups of $\mathbf {Z}$
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 81
IS - 2
SP - 223
EP - 236
LA - eng
KW - Kummer-Vandiver conjecture; Quillen -theory; Euler systems
UR - http://eudml.org/doc/90137
ER -

References

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  9. [9] Iwasawa, K.: A class number formula for cyclotomic fields, Ann. Math.76 (1962), 171-179. Zbl0125.02003MR154862
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  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
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Citations in EuDML Documents

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  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. Saad El Boukhari, A twisted class number formula and Gross's special units over an imaginary quadratic field
  6. David Grant, Delphy Shaulis, The cuspidal torsion packet on hyperelliptic Fermat quotients

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