Geodesic
Fano direct products as rationally connected fibrations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 183-206.

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Combining the connectedness principle of Shokurov and Kollár, we develop a new technique of studying birational maps of natural Fano fiber spaces. We prove that the only structures of a rationally connected fibration on direct products of typical Fano varieties are projections onto the factors. In particular, the groups of biregular and birational self-maps of Fano direct products coincide. 
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A. V. Pukhlikov. Fano direct products as rationally connected fibrations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 183-206. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a11/

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