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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Grothendieck topologies over complete local rings
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by Stephen S. Shatz PDF
Bull. Amer. Math. Soc. 72 (1966), 303-306
References
    1. M, Artin, Grothendieck topologies (mimeographed notes), Harvard University, Cambridge, Mass., 1962.
  • Roger Godement, Topologie algébrique et théorie des faisceaux, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1252, Hermann, Paris, 1958 (French). Publ. Math. Univ. Strasbourg. No. 13. MR 0102797
    • 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.
  • Stephen S. Shatz, Cohomology of artinian group schemes over local fields, Ann. of Math. (2) 79 (1964), 411–449. MR 193093, DOI 10.2307/1970403
  • Stephen S. Shatz, The cohomological dimension of certain Grothendieck topologies, Ann. of Math. (2) 83 (1966), 572–595. MR 197471, DOI 10.2307/1970479
    • 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.
  • 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
Additional Information
  • Journal: Bull. Amer. Math. Soc. 72 (1966), 303-306
  • DOI: https://doi.org/10.1090/S0002-9904-1966-11505-7
  • MathSciNet review: 0197470