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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 868–878
DOI: https://doi.org/10.4213/mzm8485 (Mi mzm8485) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real $GM$-Biquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
Full-text PDF (445 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8485
Abstract: We consider real algebraic varieties that are the intersection of two real quadrics. For brevity, we refer to such varieties as real biquadrics. The rigid isotopy classes of real biquadrics have been described long ago. In the present paper, we find the rigid isotopy classes in which the biquadrics are $GM$-varieties.
Keywords: rigid isotopy class, real biquadric, $GM$-variety, cohomology group, complex projective algebraic variety, Grassmann variety, spectral sequence.
Received: 16.03.2009
Revised: 18.03.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 830–838
DOI: https://doi.org/10.1134/S0001434611050245
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. A. Krasnov, “Real $GM$-Biquadrics”, Mat. Zametki, 89:6 (2011), 868–878; Math. Notes, 89:6 (2011), 830–838
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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