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Izvestiya: Mathematics, 2010, Volume 74, Issue 6, Pages 1255–1276
DOI: https://doi.org/10.1070/IM2010v074n06ABEH002523 (Mi im4060) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On real quadric line complexes

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (397 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2010v074n06ABEH002523
Abstract: We describe the topological types of the real parts of the Kummer surfaces associated with real three-dimensional quadric line complexes. The topological type of the real part of such a surface is shown to depend on the number of real singular points: it is determined by the number of such points if any exist, and otherwise the real part of the Kummer surface is either empty or consists of one or two tori.
Keywords: quadric complex, biquadric, pencil of quadrics, Kummer surface, index function.
Received: 24.11.2008
Revised: 28.04.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 6, Pages 157–182
DOI: https://doi.org/10.4213/im4060
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14P25, 14N25, 14J28
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “On real quadric line complexes”, Izv. RAN. Ser. Mat., 74:6 (2010), 157–182; Izv. Math., 74:6 (2010), 1255–1276
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v74/i6/p157
    • This publication is cited in the following 7 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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    Russian version PDF:171
    English version PDF:3
    References:41
    First page:8
     
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