Geodesic
Analogues of the Harnack--Thom inequality for a~real algebraic surface
Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 915-937

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We prove two analogues of the Harnack–Thom inequality for a real algebraic surface. These inequalities involve the Picard group and the Brauer group of the complexification of the surface. We present necessary and sufficient conditions for these inequalities to be equations. These conditions are stated with the help of real cycle maps. 
@article{IM2_2000_64_5_a2,
     author = {V. A. Krasnov},
     title = {Analogues of the {Harnack--Thom} inequality for a~real algebraic surface},
     journal = {Izvestiya. Mathematics },
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     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2000_64_5_a2/}
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V. A. Krasnov. Analogues of the Harnack--Thom inequality for a~real algebraic surface. Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 915-937. http://geodesic.mathdoc.fr/item/IM2_2000_64_5_a2/