Geodesic
The topological type of the Fano surface of a~real three-dimensional $M$-cubic
Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1137-1167

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We compute the topological type of the real part of the Fano surface that parametrizes the set of real lines a non-singular real $M$-threefold. When studying Fano surfaces, we use the results and constructions in [3] on the intermediate Jacobian of a three-dimensional complex cubic. We begin by computing the topological type of the real part of the Fano surface that parametrizes the set of real lines on a singular real $M$-cubic with a single simple singular point. 
@article{IM2_2005_69_6_a3,
     author = {V. A. Krasnov},
     title = {The topological type of the {Fano} surface of a~real three-dimensional $M$-cubic},
     journal = {Izvestiya. Mathematics },
     pages = {1137--1167},
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     number = {6},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2005_69_6_a3/}
}
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V. A. Krasnov. The topological type of the Fano surface of a~real three-dimensional $M$-cubic. Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1137-1167. http://geodesic.mathdoc.fr/item/IM2_2005_69_6_a3/