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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     author = {A. V. Pukhlikov},
     title = {Fano direct products as rationally connected fibrations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a11/}
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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/