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On Brauer groups of some normal local rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 549)

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References

  1. A. Andreotti, P. Salmon, Annelli con unica decomponibilita in fattori primi ed un problema di intersezioni complete, Monatsh. für Math. 61(1957), 97–142.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. Artin, D. Mumford, Some elementary examples of unirational varieties which are not rational, Proc. London Math. Soc. 25 (1972), 75–95.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. B. Auslander, The Brauer group of a ringed space, J. Algebra 4 (1966), 220–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M. Auslander, O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. N. Bourbaki, Algebre Commutative VII, Paris, Hermann, 1965.

    MATH  Google Scholar 

  6. L. Childs Mayer-Vietoris sequences and Brauer groups of non-normal domains, Trans. Amer. Math. Soc. 196 (1974), 51–67.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. -, Brauer groups of affine rings, Ring Theory, Proc. Oklahoma Conf., New York, Marcel Dekker, 1974, 83–94.

    MATH  Google Scholar 

  8. L. Childs, G. Garfinkel, M. Orzech, On the Brauer group and factoriality of normal domains, J. Pure and Appl. Algebra 6 (1975), 111–123.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. V. I. Danilov, The group of ideal classes of a completed ring, Math. USSR-Sbornik 6 (1968), 493–500.

    CrossRef  MATH  Google Scholar 

  10. -, On rings with a discrete divisor class group, Math. USSR-Sbornik 17 (1972), 228–236.

    CrossRef  MATH  Google Scholar 

  11. D. Eisenbud, Some directions of recent progress in commutative algebra, Proc. Symp. Pure Math. 29 (1975), 111–128.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. R. Fossum, The Divisor Class Group of a Krull Domain, Springer-Verlag, 1973.

    Google Scholar 

  13. A. Grothendieck, Le groupe de Brauer I, in Dix Exposés sur la cohomologie des schemas, North-Holland, 1968.

    Google Scholar 

  14. A. Grothendieck, Le groupe de Brauer II, loc. cit. Dix Exposés sur la cohomologie des schemas, North-Holland, 1968.

    Google Scholar 

  15. A. Grothendieck, Le groupe de Brauer III, loc. cit. Dix Exposés sur la cohomologie des schemas, North-Holland, 1968.

    Google Scholar 

  16. M. Knus, M. Ojanguren, A Mayer-Vietoris sequence for the Brauer group, J. Pure Appl. Algebra 5 (1974), 345–360.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. J. Lipman, Rational singularities with applications to algebraic surfaces and unique factorization, Publ. Math. IHES 36 (1969), 195–279.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M. Orzech, C. Small, The Brauer Group of Commutative Rings, New York, Marcell Dekker, 1975.

    MATH  Google Scholar 

  19. J.-P. Serre, Faisceaux algebriques coherents, Ann. Math. 61 (1955), 197–278.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Childs, L.N. (1976). On Brauer groups of some normal local rings. In: Zelinsky, D. (eds) Brauer Groups. Lecture Notes in Mathematics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077329

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  • DOI: https://doi.org/10.1007/BFb0077329

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  • Print ISBN: 978-3-540-07989-7

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