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Some theorems on azumaya algebras

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Groupe de Brauer

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 844))

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References

  1. Théorie des Topos et Cohomologie Etale des Schemas (SGA 4), dirigé par M. Artin, A. Grothendieck, J.L. Verdier, "Lecture Notes in Mathematics", Vols. 269, 270, 305, Springer Verlag, 1972, 1973.

    Google Scholar 

  2. A. Grothendieck, "Le Groupe de Brauer I, II, III" in Dix Exposés Sur la Cohomologie des Schémas, by J. Giraud (et al), North Holland Publ. Co., 1968.

    Google Scholar 

  3. J. Giraud, Cohomologie non Abélienne, Springer Verlag, 1971.

    Google Scholar 

  4. A. Grothendieck, Cohomologie Locale des Faisceaux Cohérents et Théorèmes de Lefschetz Locaux et Globaux (SGA 2), North Holland Publ. Co., 1968.

    Google Scholar 

  5. M. Raynaud, Anneaux Locaux Henséliens, "Lecture Notes in Mathematics", Vol. 169, Springer Verlag, 1970.

    Google Scholar 

  6. R. Elkik, "Equations à Coefficients dans un Anneau Hensélien", Annales Scientifiques de l'Ecole Normale Supérieure, Vol. 6 (1973), pp. 553–604.

    MathSciNet  MATH  Google Scholar 

  7. Revêtements Etales et Groupe Fondamental (SGA 1), dirigé par A. Grothendieck, "Lecture Notes in Mathematics", Vol. 224, Springer Verlag, 1970.

    Google Scholar 

  8. A. Altman and S. Kleiman, Introduction to Grothendieck Duality Theory, "Lecture Notes in Mathematics", Vo. 146, Springer Verlag, 1970.

    Google Scholar 

  9. A. Grothendieck and J. Dieudonné, "Eléments de Géométrie Algébrique", Publications Mathématiques de l'I.H.E.S., Vols. 4, 8, 11, 17, 20, 24, 28, 32, 1960–1967.

    Google Scholar 

  10. I.N. Herstein, Non Commutative Rings, MAA, 1968.

    Google Scholar 

  11. H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, 1956.

    Google Scholar 

  12. D. Mumford, Geometric Invariant Theory, Springer Verlag, 1965.

    Google Scholar 

  13. R. Hoobler, "Cohomology of Purely Inseparable Galois Coverings", Jour. für die Reine und Angew. Math., vol. 266 (1974), 183–199.

    MathSciNet  MATH  Google Scholar 

  14. H. Bass, "K theory and stable algebra", Publications Math. I.H.E.S., Vol. 22 (1964), 5–60.

    Article  MathSciNet  MATH  Google Scholar 

  15. M. Artin and J.S. Milne, "Duality in the Flat Cohomology of Curves", Inventiones Math., Vol. 35 (1976), 111–129.

    Article  MathSciNet  MATH  Google Scholar 

  16. M. Artin, "Algebraic Approximation of Structures Over Complete Local Rings", Publ. Math. I.H.E.S., vol. 36 (1969), 23–58.

    Article  MathSciNet  MATH  Google Scholar 

  17. D. Mumford, Lectures on Curves on an Algebraic Surface, Harvard University, 1964.

    Google Scholar 

  18. R. Hoobler, "A Cohomological Interpolation of Brauer Groups of Rings", preprint.

    Google Scholar 

  19. P. Berthelot, A. Grothendieck, L. Illusie, Théorie des Intersec-sections et Théorème de Riemann-Roch (SGA 6). Lecture Notes in Mathematics, vol. 225, Springer Verlag, 1971.

    Google Scholar 

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Authors
  1. Ofer Gabber
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Michel Kervaire Manuel Ojanguren

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© 1981 Springer-Verlag

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Gabber, O. (1981). Some theorems on azumaya algebras. In: Kervaire, M., Ojanguren, M. (eds) Groupe de Brauer. Lecture Notes in Mathematics, vol 844. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090480

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  • DOI: https://doi.org/10.1007/BFb0090480

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10562-6

  • Online ISBN: 978-3-540-38531-8

  • eBook Packages: Springer Book Archive

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