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On the Brauer group of a real algebraic surface

✍ Scribed by V. A. Krasnov


Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
230 KB
Volume
60
Category
Article
ISSN
0001-4346

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We show that the Brauer group BM(k, H Ξ½ , R s,Ξ² ) of the quasitriangular Hopf algebra (H Ξ½ , R s,Ξ² ) is a direct product of the additive group of the field k and the classical Brauer group B ΞΈ s (k, Z 2Ξ½ ) associated to the bicharacter ΞΈ s on Z 2Ξ½ defined by ΞΈ s (x, y) = Ο‰ sxy , with Ο‰ a 2Ξ½th root o