Geodesic
On the Fano Surface of a Real Cubic $M$-Threefold
Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 710-717 
V. A. Krasnov. On the Fano Surface of a Real Cubic $M$-Threefold. Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 710-717. http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a6/
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     title = {On the {Fano} {Surface} of a {Real} {Cubic} $M${-Threefold}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that the Fano surface which parameterizes the set of straight lines on a real $M$-threefold of degree 3 is also an $M$-surface. The converse statement is also true. The proof is based on the results about the intermediate Jacobian of a complex cubic threefold due to C. Clemens and P. Griffiths.

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