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On the picard group and the brauer group of a real algebraic surface
Authors:V A Krasnov
Institution:(1) Yaroslavl State University, USSR
Abstract:The map of the Brauer group of a real algebraic surface to the invariant part of the Brauer group of its complexification is studied. In this study, the real cycle map of the Picard group is used. Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 211–220, February, 2000.
Keywords:real algebraic variety  equivariant étale cohomology  cycle map  Hochschild-Serre spectral sequence  Galois group  Picard group  Brauer group  sheaf of groups
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