Classes des corps cyclotomiques

Jean-Pierre Serre

Séminaire Bourbaki (1958-1960)

  • Volume: 5, page 83-93
  • ISSN: 0303-1179

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Serre, Jean-Pierre. "Classes des corps cyclotomiques." Séminaire Bourbaki 5 (1958-1960): 83-93. <http://eudml.org/doc/109603>.

@article{Serre1958-1960,
author = {Serre, Jean-Pierre},
journal = {Séminaire Bourbaki},
keywords = {number fields, function fields},
language = {fre},
pages = {83-93},
publisher = {Société Mathématique de France},
title = {Classes des corps cyclotomiques},
url = {http://eudml.org/doc/109603},
volume = {5},
year = {1958-1960},
}

TY - JOUR
AU - Serre, Jean-Pierre
TI - Classes des corps cyclotomiques
JO - Séminaire Bourbaki
PY - 1958-1960
PB - Société Mathématique de France
VL - 5
SP - 83
EP - 93
LA - fre
KW - number fields, function fields
UR - http://eudml.org/doc/109603
ER -

References

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  1. [1] Hasse ( Helmut). - Über die Klassenzahl Abelscher Zahlkörper. - Berlin, Akademie Verlag, 1952. Zbl0046.26003MR49239
  2. [2] Iwasawa ( Kenkichi). - A note on class numbers of algebraic number fields, Abh. math. Sem. Hamburg, t. 20, 1956, p. 257-258. Zbl0074.03002MR83013
  3. [3] Iwasawa ( Kenkichi). - On Γ-extensions of algebraic number fields, Bull. Amer. math. Soc., t. 65, 1959 (à paraître). Zbl0089.02402
  4. [4] Iwasawa ( Kenkichi). - On some invariants of cyclotomic fields, Amer. J. of Math., t. 80, 1958, p. 773-783. Zbl0084.04101MR124317
  5. [5] Iwasawa ( Kenkichi). - Sheaves for algebraic number fields, Annals of Math., Series 2, t. 69, 1959, p. 408-413. Zbl0090.02903MR124318
  6. [6] Samuel ( Pierre) . - Algèbre locale. - Paris, Gauthier-Villars, 1953 (Mém. Sc. math., 123). Zbl0053.01901MR54995
  7. [7] Samuel ( Pierre). - Commutative algebra (Notes by D. Hertzig). - Ithaca, Cornell University, 1953. 
  8. [8] Serre ( Jean-Pierre). - Sur la dimension homologique des anneaux et des modules noethériens, Proc. interne Symp. on alg. number theory [1955. Tokyo et Nikko]. - Tokyo, Science Council of Japan, 1956 ; p. 175-189. Zbl0073.26004MR86071

Citations in EuDML Documents

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  1. Joseph E. Carroll, On determining the quadratic subfields of Z 2 -extensions of complex quadratic fields
  2. Albert A. Cuoco, The growth of Iwasawa invariants in a family
  3. J. E. Carroll, H. Kisilevsky, Initial layers of Z l -extensions of complex quadratic fields
  4. Joseph Oesterlé, Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques
  5. Armand Brumer, Travaux récents d'Iwasawa et de Leopoldt
  6. Nathalie Wach, Représentations p -adiques potentiellement cristallines
  7. Jean-Pierre Serre, Sur les modules projectifs
  8. Jean-François Jaulent, Généralisation d’un théorème d’Iwasawa
  9. Alain Genestier, Vincent Lafforgue, Théorie de Fontaine en égales caractéristiques
  10. Maryam Salimi, Elham Tavasoli, Siamak Yassemi, k -torsionless modules with finite Gorenstein dimension

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