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Izvestiya: Mathematics, 2011, Volume 75, Issue 3, Pages 589–602
DOI: https://doi.org/10.1070/IM2011v075n03ABEH002545 (Mi im4102) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the number of components of a three-dimensional maximal intersection of three real quadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (306 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2011v075n03ABEH002545
Abstract: We consider non-singular intersections of three real five-dimensional quadrics. For brevity they are referred to as real three-dimensional triquadrics. We prove the existence of real three-dimensional $M$-triquadrics with $k$ components, where $k$ is any integer in the range $1\leqslant k\leqslant 14$.
Keywords: triquadrics, maximal varieties, spectral curve, theta-characteristics, index function.
Received: 26.03.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 3, Pages 147–160
DOI: https://doi.org/10.4213/im4102
Bibliographic databases:
UDC: 512.7
MSC: 14P25, 14N25, 14J30
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “On the number of components of a three-dimensional maximal intersection of three real quadrics”, Izv. RAN. Ser. Mat., 75:3 (2011), 147–160; Izv. Math., 75:3 (2011), 589–602
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2011v075n03ABEH002545
  • https://www.mathnet.ru/eng/im/v75/i3/p147
    • This publication is cited in the following 2 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:481
    Russian version PDF:170
    English version PDF:18
    References:73
    First page:5
     
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