Geodesic
A Fano 3-fold with a unique elliptic structure
Sbornik. Mathematics, Tome 192 (2001) no. 5, pp. 785-794 
I. A. Cheltsov. A Fano 3-fold with a unique elliptic structure. Sbornik. Mathematics, Tome 192 (2001) no. 5, pp. 785-794. http://geodesic.mathdoc.fr/item/SM_2001_192_5_a6/
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     title = {A~Fano 3-fold with a~unique elliptic structure},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An example of a Fano 3-fold that has a unique representation as an elliptic fibration is presented. No other examples of rationally connected varieties with such a property are known so far.

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