Geodesic
Real algebraic varieties without real points
Izvestiya. Mathematics , Tome 63 (1999) no. 4, pp. 757-790

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This paper deals with real algebraic varieties without real points. In particular, the Picard, Brauer, and Witt groups are calculated for these varieties. 
@article{IM2_1999_63_4_a6,
     author = {V. A. Krasnov},
     title = {Real algebraic varieties without real points},
     journal = {Izvestiya. Mathematics },
     pages = {757--790},
     publisher = {mathdoc},
     volume = {63},
     number = {4},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a6/}
}
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V. A. Krasnov. Real algebraic varieties without real points. Izvestiya. Mathematics , Tome 63 (1999) no. 4, pp. 757-790. http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a6/