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Izvestiya: Mathematics, 2000, Volume 64, Issue 5, Pages 915–937
DOI: https://doi.org/10.1070/im2000v064n05ABEH000304 (Mi im304) 		 
Analogues of the Harnack–Thom inequality for a real algebraic surface

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (246 kB) Russian version article
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DOI: https://doi.org/10.1070/im2000v064n05ABEH000304
Abstract: 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.
Received: 10.02.1999
Bibliographic databases:
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Analogues of the Harnack–Thom inequality for a real algebraic surface”, Izv. Math., 64:5 (2000), 915–937
Citation in format AMSBIB
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\by V.~A.~Krasnov
\paper Analogues of the Harnack--Thom inequality for a~real algebraic surface
\jour Izv. Math.
\yr 2000
\vol 64
\issue 5
\pages 915--937
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:185
    English version PDF:25
    References:60
    First page:1
     
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