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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
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2000, Volume 64, Issue 5, Pages 45–68
DOI: https://doi.org/10.4213/im304
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. RAN. Ser. Mat., 64:5 (2000), 45–68; Izv. Math., 64:5 (2000), 915–937
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:353
    Russian version PDF:171
    English version PDF:21
    References:51
    First page:1
     
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