Equivariant topological classification of the Fano varieties of real four-dimensional cubics

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...

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Bibliographic Details
Published inMathematical Notes Vol. 85; no. 3-4; pp. 574 - 583
Main Author Krasnov, V. A.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.04.2009
Subjects
Mathematics
Mathematics and Statistics
K3 surface
threefold
equivariant topological type
Fano variety
equivariant diffeomorphism
cubic fourfold
complex projective space
Grassman manifold
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Summary: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.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434609030286