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Picard and Brauer groups of Zariski schemes

Authors: Piotr Blass and Raymond Hoobler
Journal: Proc. Amer. Math. Soc. 97 (1986), 379-383
MSC: Primary 14J05; Secondary 14F20
MathSciNet review: 840613
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Abstract: The Cartier-Yuan exact sequence is used to calculate Picard groups and Brauer groups of Zariski surfaces and their generalizations. A result of Blass-Deligne on the factoriality of general affine Zariski surfaces is extended to all higher dimensional Zariski schemes.

References [Enhancements On Off] (What's this?)

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  • [2] Robin Hartshorne, Local cohomology, A seminar given by A. Grothendieck, Harvard University, Fall, vol. 1961, Springer-Verlag, Berlin-New York, 1967. MR 0224620
  • [3] Robin Hartshorne, Algebraic geometry, Springer-Verlag, New York-Heidelberg, 1977. Graduate Texts in Mathematics, No. 52. MR 0463157
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  • [6] Milne, Étale cohomology, Princeton Math. Series, no. 33, Princeton Univ. Press, Princeton, NJ., 1980.

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Article copyright: © Copyright 1986 American Mathematical Society