Notes on étale cohomology of number fields

Barry Mazur

Annales scientifiques de l'École Normale Supérieure (1973)

  • Volume: 6, Issue: 4, page 521-552
  • ISSN: 0012-9593

How to cite


Mazur, Barry. "Notes on étale cohomology of number fields." Annales scientifiques de l'École Normale Supérieure 6.4 (1973): 521-552. <>.

author = {Mazur, Barry},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {4},
pages = {521-552},
publisher = {Elsevier},
title = {Notes on étale cohomology of number fields},
url = {},
volume = {6},
year = {1973},

AU - Mazur, Barry
TI - Notes on étale cohomology of number fields
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1973
PB - Elsevier
VL - 6
IS - 4
SP - 521
EP - 552
LA - eng
UR -
ER -


  1. [AV] M. ARTIN and J.-L. VERDIER, Seminar on étale cohomology of number fields, Woods Hole, 1964. 
  2. [CG] J.-P. SERRE, Cohomologie Galoisienne (4th ed.). (Lecture Notes in Maths., n° 5, Springer, 1973). Zbl0259.12011MR53 #8030
  3. [CL] J.-P. SERRE, Corps Locaux, Hermann et Cie, Paris, 1962. Zbl0137.02601
  4. [GR] A. GROTHENDIECK, Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats, Séminaire Bourbaki n° 190, 1959/1960, Benjamin, 1966. Zbl0229.14007
  5. [GT] M. ARTIN, Grothendieck Topologies, Harvard University, 1962. Zbl0208.48701
  6. [P] G. POITOU, Cohomologie galoisienne des modules finis, Dunod, Paris, 1967. Zbl0161.04203MR36 #2670
  7. [SGAA] M. ARTIN, A. GROTHENDIECK and J.-L. VERDIER, Théorie des Topos et Cohomologie Etale des Schémas (SGA 4) (Lecture Notes in Maths., nos 269, 270 et 305, Springer, 1972/1973). 
  8. [Sh] S. S. SHATZ, Profinite groups, Arithmetic, and Geometry (Ann. of Math. Studies, n° 67, Princeton, 1972). Zbl0236.12002MR50 #279
  9. [T] J. TATE, Duality theorems in Galois cohomology over number fields, (Proc. Intern. Cong. Stockholm, 1962, p. 288-295). Zbl0126.07002MR31 #168

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