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Izvestiya: Mathematics, 1998, Volume 62, Issue 4, Pages 695–721
DOI: https://doi.org/10.1070/im1998v062n04ABEH000196 (Mi im196) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Real algebraic GM$\mathbb Z$-surfaces

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (264 kB) Citations (4)
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DOI: https://doi.org/10.1070/im1998v062n04ABEH000196
Abstract: We prove necessary and sufficient conditions for a real algebraic surface to be a $\operatorname{GM}\mathbb Z$-surface. We calculate the Neron–Severi group $\operatorname{NS}(X)$, the Brauer group $\operatorname{Br}(X)$ and the algebraic cohomology group $H_a^1(X(\mathbb R),\mathbb F_2)$, where $X$ is a real projective surface. We also prove Nikulin's congruence for an arbitrary orientable $M$-surface
Received: 20.11.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 4, Pages 51–80
DOI: https://doi.org/10.4213/im196
Bibliographic databases:
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Real algebraic GM$\mathbb Z$-surfaces”, Izv. RAN. Ser. Mat., 62:4 (1998), 51–80; Izv. Math., 62:4 (1998), 695–721
Citation in format AMSBIB
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\by V.~A.~Krasnov
\paper Real algebraic GM$\mathbb Z$-surfaces
\jour Izv. RAN. Ser. Mat.
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\issue 4
\pages 51--80
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  • https://doi.org/10.1070/im1998v062n04ABEH000196
  • https://www.mathnet.ru/eng/im/v62/i4/p51
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:336
    Russian version PDF:163
    English version PDF:13
    References:47
    First page:1
     
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