Geodesic
On Nonrational Fibers of del~Pezzo Fibrations over Curves
Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 881-893.

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We consider threefold del Pezzo fibrations over a curve germ whose central fiber is nonrational. Under the additional assumption that the singularities of the total space are at worst ordinary double points, we apply a suitable base change and show that there is a one-to-one correspondence between such fibrations and certain nonsingular del Pezzo fibrations equipped with a cyclic group action.
Keywords: Mori fibration, rationality.
Mots-clés : del Pezzo surface 
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K. V. Loginov. On Nonrational Fibers of del~Pezzo Fibrations over Curves. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 881-893. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a8/

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