Geodesic
Equivariant Topological Classification of the Fano Varieties of Real Four-Dimensional Cubics
Matematičeskie zametki, Tome 85 (2009) no. 4, pp. 603-615

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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. 
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     author = {V. A. Krasnov},
     title = {Equivariant {Topological} {Classification} of the {Fano} {Varieties} of {Real} {Four-Dimensional} {Cubics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {603--615},
     publisher = {mathdoc},
     volume = {85},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_4_a9/}
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V. A. Krasnov. Equivariant Topological Classification of the Fano Varieties of Real Four-Dimensional Cubics. Matematičeskie zametki, Tome 85 (2009) no. 4, pp. 603-615. http://geodesic.mathdoc.fr/item/MZM_2009_85_4_a9/