Geodesic
On the Fano surface of a nonsingular cubic in $P^4$
Izvestiya. Mathematics, Tome 4 (1970) no. 6, pp. 1207-1214 
A. N. Tyurin. On the Fano surface of a nonsingular cubic in $P^4$. Izvestiya. Mathematics, Tome 4 (1970) no. 6, pp. 1207-1214. http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a1/
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     title = {On the {Fano} surface of a nonsingular cubic in $P^4$},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper we prove that the Fano surface of a nonsingular cubic in $P^4$ uniquely determines chat surface. In addition, we prove a weak Torelli theorem for Fano surfaces.

[1] Fano G., “Sul sistema $\infty^2$ rette contanto in una varieta cubica generate dello spazio a quatro dimensioni”, Atti R. Accad. Torino, 39 (1904), 778–792 | Zbl

[2] Bombieri E., Swinnerton-Dyer H. P. F., “On the lokal Zeta-function of a cubic treefold”, Annali della Scuola Norm. Sup. di Pisa(III), 21 (1967), 1–18 | MR