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Izvestiya: Mathematics, 2011, Volume 75, Issue 3, Pages 569–587
DOI: https://doi.org/10.1070/IM2011v075n03ABEH002544 (Mi im4097) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Maximal intersections of three real quadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (359 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2011v075n03ABEH002544
Abstract: We consider real algebraic varieties that are intersections of three real quadrics. For brevity they are referred to as real triquadrics. We construct triquadrics that are $M$-varieties and calculate the cohomology groups of the real parts of such triquadrics with coefficients in the field of two elements using relations between triquadrics and plane curves.
Keywords: triquadrics, maximal varieties, theta-characteristics, spectral curve.
Received: 10.03.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 3, Pages 127–146
DOI: https://doi.org/10.4213/im4097
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14P25, 14N25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Maximal intersections of three real quadrics”, Izv. RAN. Ser. Mat., 75:3 (2011), 127–146; Izv. Math., 75:3 (2011), 569–587
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2011v075n03ABEH002544
  • https://www.mathnet.ru/eng/im/v75/i3/p127
    • This publication is cited in the following 7 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:631
    Russian version PDF:182
    English version PDF:14
    References:64
    First page:7
     
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