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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 705–718
DOI: https://doi.org/10.4213/mzm8603 (Mi mzm8603) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Rigid Isotopy Classification of Real Quadric Line Complexes and Associated Kummer Surfaces

V. A. Krasnov

P. G. Demidov Yaroslavl State University
Full-text PDF (495 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8603
Abstract: The paper deals with rigid isotopy classes of three-dimensional real quadric line complexes and associated Kummer surfaces. We prove that there exist twelve rigid isotopy classes of real quadric line complexes and seven rigid isotopy classes of associated Kummer surfaces. Characteristics determining these rigid isotopy classes are given.
Keywords: quadric line complex, Kummer surface, rigid isotopy class, quadratic, biquadratic, Grassmann variety, Klein quadratic, Plücker coordinates.
Received: 29.06.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 661–671
DOI: https://doi.org/10.1134/S0001434611050075
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. A. Krasnov, “Rigid Isotopy Classification of Real Quadric Line Complexes and Associated Kummer Surfaces”, Mat. Zametki, 89:5 (2011), 705–718; Math. Notes, 89:5 (2011), 661–671
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm8603
  • https://www.mathnet.ru/eng/mzm/v89/i5/p705
    • This publication is cited in the following 4 articles:
    1. V. A. Krasnov, “The real Plücker–Klein map”, Izv. Math., 86:3 (2022), 456–507  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. V. A. Krasnov, “Real Kummer quartics and their Heisenberg invariance”, Izv. Math., 84:1 (2020), 95–145  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. V. A. Krasnov, “Real Kummer surfaces”, Izv. Math., 83:1 (2019), 65–103  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. V. A. Krasnov, “On intersections of two real quadrics”, Izv. Math., 82:1 (2018), 91–139  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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