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Izvestiya: Mathematics, 2011, Volume 75, Issue 2, Pages 371–394
DOI: https://doi.org/10.1070/IM2011v075n02ABEH002537 (Mi im4072) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real four-dimensional biquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (373 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2011v075n02ABEH002537
Abstract: We consider intersections of two real five-dimensional quadrics, which are referred to for brevity as real four-dimensional biquadrics. Their rigid isotopy classes were described long ago: there are 16 such classes. We prove that the rigid isotopy class of a non-singular real four-dimensional biquadric is uniquely determined by the topological type of its real part. To do this, we calculate the dimensions of the cohomology spaces of the real part of a four-dimensional biquadric.
Keywords: biquadrics, rigid isotopy classes, coarse isotopy classes, index function.
Received: 11.01.2009
Revised: 16.03.2009
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14P25, 14N25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Real four-dimensional biquadrics”, Izv. Math., 75:2 (2011), 371–394
Citation in format AMSBIB
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\by V.~A.~Krasnov
\paper Real four-dimensional biquadrics
\jour Izv. Math.
\yr 2011
\vol 75
\issue 2
\pages 371--394
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  • https://doi.org/10.1070/IM2011v075n02ABEH002537
  • https://www.mathnet.ru/eng/im/v75/i2/p151
    • This publication is cited in the following 1 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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