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Izvestiya: Mathematics, 2018, Volume 82, Issue 1, Pages 91–139
DOI: https://doi.org/10.1070/IM8535 (Mi im8535) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On intersections of two real quadrics

V. A. Krasnov

P.G. Demidov Yaroslavl State University
English version PDF (562 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM8535
Abstract: This paper is devoted to describing properties of complete intersections of two real projective quadrics. For brevity we call such varieties biquadrics. One of the main sections is devoted to real projective spaces on real biquadrics. In another main section we study the topology of the real parts of biquadrics. The other sections are auxiliary.
Keywords: quadric, biquadric, pencil of quadrics, index function, rigid isotopy classification, topological type.
Received: 01.03.2016
Revised: 11.10.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 1, Pages 97–150
DOI: https://doi.org/10.4213/im8535
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14P25, 14N25, 57R19
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “On intersections of two real quadrics”, Izv. RAN. Ser. Mat., 82:1 (2018), 97–150; Izv. Math., 82:1 (2018), 91–139
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8535
  • https://www.mathnet.ru/eng/im/v82/i1/p97
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:710
    Russian version PDF:91
    English version PDF:20
    References:78
    First page:32
     
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