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Matematicheskie Zametki, 2009, Volume 85, Issue 4, Pages 603–615
DOI: https://doi.org/10.4213/mzm6641 (Mi mzm6641) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Equivariant Topological Classification of the Fano Varieties of Real Four-Dimensional Cubics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
Full-text PDF (547 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm6641
Abstract: The equivariant topological type of the Fano variety parametrizing the set of lines on a nonsingular real hypersurface of degree three in a five-dimensional projective space is calculated. In the investigation of this Fano variety, results and constructions of the paper by Finashin and Kharlamov on the rigid projective classification of real four-dimensional cubics are used. The construction of Hassett (from the paper devoted to special four-dimensional cubics) is also applied.
Keywords: threefold, Fano variety, equivariant topological type, complex projective space, cubic fourfold, Grassman manifold, equivariant diffeomorphism, K3 surface.
Received: 01.02.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 4, Pages 574–583
DOI: https://doi.org/10.1134/S0001434609030286
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: V. A. Krasnov, “Equivariant Topological Classification of the Fano Varieties of Real Four-Dimensional Cubics”, Mat. Zametki, 85:4 (2009), 603–615; Math. Notes, 85:4 (2009), 574–583
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm6641
  • https://www.mathnet.ru/eng/mzm/v85/i4/p603
    • This publication is cited in the following 2 articles:
    1. V. A. Krasnov, “Real Two-Dimensional Intersections of a Quadric by a Cubic”, Math. Notes, 90:4 (2011), 509–516  mathnet  crossref  crossref  mathscinet  isi
    2. V. A. Krasnov, “On the Fano Variety of a Class of Real Four-Dimensional Cubics”, Math. Notes, 85:5 (2009), 682–689  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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