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The Brauer group of a noncomplete real algebraic surface
Authors:V. A. Krasnov
Affiliation:(1) Yaroslavl State University, USSR
Abstract:
The Brauer group of a noncomplete real algebraic surface is calculated. The calculations make use of equivariant cohomology. The resulting formula is similar to the formula for a complete surface, but the proof is substantially different. Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 355–359, March, 2000.
Keywords:real quasiprojective variety  equivariant étale cohomology  Brauer group  Lefschetz number  Galois group  cycle map  sheaf of Abelian groups
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