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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
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.
DOI:
https://doi.org/10.4213/im4072
Full text:
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English version:
Izvestiya: Mathematics, 2011, 75:2, 371–394
Bibliographic databases:
UDC:
512.7
MSC: 14P25, 14N25 Received: 11.01.2009 Revised: 16.03.2009
Citation:
V. A. Krasnov, “Real four-dimensional biquadrics”, Izv. RAN. Ser. Mat., 75:2 (2011), 151–176; Izv. Math., 75:2 (2011), 371–394
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http://mi.mathnet.ru/eng/izv4072https://doi.org/10.4213/im4072 http://mi.mathnet.ru/eng/izv/v75/i2/p151
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
V. A. Krasnov, “On intersections of two real quadrics”, Izv. Math., 82:1 (2018), 91–139
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