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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


Grothendieck topologies over complete local rings

Author: Stephen S. Shatz
Journal: Bull. Amer. Math. Soc. 72 (1966), 303-306
MathSciNet review: 0197470
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References [Enhancements On Off] (What's this?)

  • 1. M, Artin, Grothendieck topologies (mimeographed notes), Harvard University, Cambridge, Mass., 1962.
  • 2. Roger Godement, Topologie algébrique et théorie des faisceaux, Actualit’es Sci. Ind. No. 1252. Publ. Math. Univ. Strasbourg. No. 13, Hermann, Paris, 1958 (French). MR 0102797 (21 #1583)
  • 3. A. Grothendieck and J. Dieudonné, Éléments degé ométrie algébrique. I-IV, Inst. Hautes Études Sci. 1960-1965.
  • 4. A. Grothendieck, Techniques de descente et théorèmes d'existence en géométrie algébrique I: Généralités. Descente par morphismes fidelment plats, Séminaire Bourbaki, 1959-1960, Exposé 190, Paris.
  • 5. Stephen S. Shatz, Cohomology of artinian group schemes over local fields, Ann. of Math. (2) 79 (1964), 411–449. MR 0193093 (33 #1314)
  • 6. Stephen S. Shatz, The cohomological dimension of certain Grothendieck topologies, Ann. of Math. (2) 83 (1966), 572–595. MR 0197471 (33 #5636)
  • 7. J. Tate, Cohomology of abelian varieties over p-adic fields (cf. Notes by S. Lang), Princeton Univ., Princeton, N. J., May, 1959.
  • 8. J. Tate, Cohomology of profinite groups (cf. A. Douady, Cohomologie des groupes compacts totalements discontinus), Séminaire Bourbaki, 1959, Exposé 189, Paris.
  • 9. John Tate, Duality theorems in Galois cohomology over number fields, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 288–295. MR 0175892 (31 #168)

Additional Information

PII: S 0002-9904(1966)11505-7

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